Schwarzian derivatives for pluriharmonic mappings
A pre-Schwarzian and a Schwarzian derivative for locally univalent pluriharmonic mappings in C n are introduced. Basic properties such as the chain rule, multiplicative invariance and affine invariance are proved for these operators. It is shown that the pre-Schwarzian is stable only with respect to...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Efraimidis, Iason [verfasserIn] |
|---|
| Format: |
E-Artikel |
|---|---|
| Sprache: |
Englisch |
| Erschienen: |
2021transfer abstract |
|---|
| Schlagwörter: |
|---|
| Übergeordnetes Werk: |
Enthalten in: In silico drug repurposing in COVID-19: A network-based analysis - Sibilio, Pasquale ELSEVIER, 2021, Amsterdam [u.a.] |
|---|---|
| Übergeordnetes Werk: |
volume:495 ; year:2021 ; number:1 ; day:1 ; month:03 ; pages:0 |
| Links: |
|---|
| DOI / URN: |
10.1016/j.jmaa.2020.124716 |
|---|
| Katalog-ID: |
ELV051971984 |
|---|
| LEADER | 01000caa a22002652 4500 | ||
|---|---|---|---|
| 001 | ELV051971984 | ||
| 003 | DE-627 | ||
| 005 | 20230626032703.0 | ||
| 007 | cr uuu---uuuuu | ||
| 008 | 210910s2021 xx |||||o 00| ||eng c | ||
| 024 | 7 | |a 10.1016/j.jmaa.2020.124716 |2 doi | |
| 028 | 5 | 2 | |a /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001265.pica |
| 035 | |a (DE-627)ELV051971984 | ||
| 035 | |a (ELSEVIER)S0022-247X(20)30879-9 | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rakwb | ||
| 041 | |a eng | ||
| 082 | 0 | 4 | |a 610 |q VZ |
| 084 | |a 44.40 |2 bkl | ||
| 100 | 1 | |a Efraimidis, Iason |e verfasserin |4 aut | |
| 245 | 1 | 0 | |a Schwarzian derivatives for pluriharmonic mappings |
| 264 | 1 | |c 2021transfer abstract | |
| 336 | |a nicht spezifiziert |b zzz |2 rdacontent | ||
| 337 | |a nicht spezifiziert |b z |2 rdamedia | ||
| 338 | |a nicht spezifiziert |b zu |2 rdacarrier | ||
| 520 | |a A pre-Schwarzian and a Schwarzian derivative for locally univalent pluriharmonic mappings in C n are introduced. Basic properties such as the chain rule, multiplicative invariance and affine invariance are proved for these operators. It is shown that the pre-Schwarzian is stable only with respect to rotations of the identity. A characterization is given for the case when the pre-Schwarzian derivative is holomorphic. Furthermore, it is shown that if the Schwarzian derivative of a pluriharmonic mapping vanishes then the analytic part of this mapping is a Möbius transformation. Some observations are made related to the dilatation of pluriharmonic mappings and to the dilatation of their affine transformations, revealing differences between the theories in the plane and in higher dimensions. An example is given that rules out the possibility for a shear construction theorem to hold in C n , for n ≥ 2 . | ||
| 520 | |a A pre-Schwarzian and a Schwarzian derivative for locally univalent pluriharmonic mappings in C n are introduced. Basic properties such as the chain rule, multiplicative invariance and affine invariance are proved for these operators. It is shown that the pre-Schwarzian is stable only with respect to rotations of the identity. A characterization is given for the case when the pre-Schwarzian derivative is holomorphic. Furthermore, it is shown that if the Schwarzian derivative of a pluriharmonic mapping vanishes then the analytic part of this mapping is a Möbius transformation. Some observations are made related to the dilatation of pluriharmonic mappings and to the dilatation of their affine transformations, revealing differences between the theories in the plane and in higher dimensions. An example is given that rules out the possibility for a shear construction theorem to hold in C n , for n ≥ 2 . | ||
| 650 | 7 | |a Pluriharmonic mapping |2 Elsevier | |
| 650 | 7 | |a Schwarzian derivative |2 Elsevier | |
| 650 | 7 | |a Pre-Schwarzian derivative |2 Elsevier | |
| 700 | 1 | |a Ferrada-Salas, Álvaro |4 oth | |
| 700 | 1 | |a Hernández, Rodrigo |4 oth | |
| 700 | 1 | |a Vargas, Rodrigo |4 oth | |
| 773 | 0 | 8 | |i Enthalten in |n Elsevier |a Sibilio, Pasquale ELSEVIER |t In silico drug repurposing in COVID-19: A network-based analysis |d 2021 |g Amsterdam [u.a.] |w (DE-627)ELV006634001 |
| 773 | 1 | 8 | |g volume:495 |g year:2021 |g number:1 |g day:1 |g month:03 |g pages:0 |
| 856 | 4 | 0 | |u https://doi.org/10.1016/j.jmaa.2020.124716 |3 Volltext |
| 912 | |a GBV_USEFLAG_U | ||
| 912 | |a GBV_ELV | ||
| 912 | |a SYSFLAG_U | ||
| 912 | |a SSG-OLC-PHA | ||
| 912 | |a SSG-OPC-PHA | ||
| 936 | b | k | |a 44.40 |j Pharmazie |j Pharmazeutika |q VZ |
| 951 | |a AR | ||
| 952 | |d 495 |j 2021 |e 1 |b 1 |c 0301 |h 0 | ||
| author_variant |
i e ie |
|---|---|
| matchkey_str |
efraimidisiasonferradasalaslvarohernndez:2021----:cwrineiaiefrlrhr |
| hierarchy_sort_str |
2021transfer abstract |
| bklnumber |
44.40 |
| publishDate |
2021 |
| allfields |
10.1016/j.jmaa.2020.124716 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001265.pica (DE-627)ELV051971984 (ELSEVIER)S0022-247X(20)30879-9 DE-627 ger DE-627 rakwb eng 610 VZ 44.40 bkl Efraimidis, Iason verfasserin aut Schwarzian derivatives for pluriharmonic mappings 2021transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier A pre-Schwarzian and a Schwarzian derivative for locally univalent pluriharmonic mappings in C n are introduced. Basic properties such as the chain rule, multiplicative invariance and affine invariance are proved for these operators. It is shown that the pre-Schwarzian is stable only with respect to rotations of the identity. A characterization is given for the case when the pre-Schwarzian derivative is holomorphic. Furthermore, it is shown that if the Schwarzian derivative of a pluriharmonic mapping vanishes then the analytic part of this mapping is a Möbius transformation. Some observations are made related to the dilatation of pluriharmonic mappings and to the dilatation of their affine transformations, revealing differences between the theories in the plane and in higher dimensions. An example is given that rules out the possibility for a shear construction theorem to hold in C n , for n ≥ 2 . A pre-Schwarzian and a Schwarzian derivative for locally univalent pluriharmonic mappings in C n are introduced. Basic properties such as the chain rule, multiplicative invariance and affine invariance are proved for these operators. It is shown that the pre-Schwarzian is stable only with respect to rotations of the identity. A characterization is given for the case when the pre-Schwarzian derivative is holomorphic. Furthermore, it is shown that if the Schwarzian derivative of a pluriharmonic mapping vanishes then the analytic part of this mapping is a Möbius transformation. Some observations are made related to the dilatation of pluriharmonic mappings and to the dilatation of their affine transformations, revealing differences between the theories in the plane and in higher dimensions. An example is given that rules out the possibility for a shear construction theorem to hold in C n , for n ≥ 2 . Pluriharmonic mapping Elsevier Schwarzian derivative Elsevier Pre-Schwarzian derivative Elsevier Ferrada-Salas, Álvaro oth Hernández, Rodrigo oth Vargas, Rodrigo oth Enthalten in Elsevier Sibilio, Pasquale ELSEVIER In silico drug repurposing in COVID-19: A network-based analysis 2021 Amsterdam [u.a.] (DE-627)ELV006634001 volume:495 year:2021 number:1 day:1 month:03 pages:0 https://doi.org/10.1016/j.jmaa.2020.124716 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA SSG-OPC-PHA 44.40 Pharmazie Pharmazeutika VZ AR 495 2021 1 1 0301 0 |
| spelling |
10.1016/j.jmaa.2020.124716 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001265.pica (DE-627)ELV051971984 (ELSEVIER)S0022-247X(20)30879-9 DE-627 ger DE-627 rakwb eng 610 VZ 44.40 bkl Efraimidis, Iason verfasserin aut Schwarzian derivatives for pluriharmonic mappings 2021transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier A pre-Schwarzian and a Schwarzian derivative for locally univalent pluriharmonic mappings in C n are introduced. Basic properties such as the chain rule, multiplicative invariance and affine invariance are proved for these operators. It is shown that the pre-Schwarzian is stable only with respect to rotations of the identity. A characterization is given for the case when the pre-Schwarzian derivative is holomorphic. Furthermore, it is shown that if the Schwarzian derivative of a pluriharmonic mapping vanishes then the analytic part of this mapping is a Möbius transformation. Some observations are made related to the dilatation of pluriharmonic mappings and to the dilatation of their affine transformations, revealing differences between the theories in the plane and in higher dimensions. An example is given that rules out the possibility for a shear construction theorem to hold in C n , for n ≥ 2 . A pre-Schwarzian and a Schwarzian derivative for locally univalent pluriharmonic mappings in C n are introduced. Basic properties such as the chain rule, multiplicative invariance and affine invariance are proved for these operators. It is shown that the pre-Schwarzian is stable only with respect to rotations of the identity. A characterization is given for the case when the pre-Schwarzian derivative is holomorphic. Furthermore, it is shown that if the Schwarzian derivative of a pluriharmonic mapping vanishes then the analytic part of this mapping is a Möbius transformation. Some observations are made related to the dilatation of pluriharmonic mappings and to the dilatation of their affine transformations, revealing differences between the theories in the plane and in higher dimensions. An example is given that rules out the possibility for a shear construction theorem to hold in C n , for n ≥ 2 . Pluriharmonic mapping Elsevier Schwarzian derivative Elsevier Pre-Schwarzian derivative Elsevier Ferrada-Salas, Álvaro oth Hernández, Rodrigo oth Vargas, Rodrigo oth Enthalten in Elsevier Sibilio, Pasquale ELSEVIER In silico drug repurposing in COVID-19: A network-based analysis 2021 Amsterdam [u.a.] (DE-627)ELV006634001 volume:495 year:2021 number:1 day:1 month:03 pages:0 https://doi.org/10.1016/j.jmaa.2020.124716 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA SSG-OPC-PHA 44.40 Pharmazie Pharmazeutika VZ AR 495 2021 1 1 0301 0 |
| allfields_unstemmed |
10.1016/j.jmaa.2020.124716 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001265.pica (DE-627)ELV051971984 (ELSEVIER)S0022-247X(20)30879-9 DE-627 ger DE-627 rakwb eng 610 VZ 44.40 bkl Efraimidis, Iason verfasserin aut Schwarzian derivatives for pluriharmonic mappings 2021transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier A pre-Schwarzian and a Schwarzian derivative for locally univalent pluriharmonic mappings in C n are introduced. Basic properties such as the chain rule, multiplicative invariance and affine invariance are proved for these operators. It is shown that the pre-Schwarzian is stable only with respect to rotations of the identity. A characterization is given for the case when the pre-Schwarzian derivative is holomorphic. Furthermore, it is shown that if the Schwarzian derivative of a pluriharmonic mapping vanishes then the analytic part of this mapping is a Möbius transformation. Some observations are made related to the dilatation of pluriharmonic mappings and to the dilatation of their affine transformations, revealing differences between the theories in the plane and in higher dimensions. An example is given that rules out the possibility for a shear construction theorem to hold in C n , for n ≥ 2 . A pre-Schwarzian and a Schwarzian derivative for locally univalent pluriharmonic mappings in C n are introduced. Basic properties such as the chain rule, multiplicative invariance and affine invariance are proved for these operators. It is shown that the pre-Schwarzian is stable only with respect to rotations of the identity. A characterization is given for the case when the pre-Schwarzian derivative is holomorphic. Furthermore, it is shown that if the Schwarzian derivative of a pluriharmonic mapping vanishes then the analytic part of this mapping is a Möbius transformation. Some observations are made related to the dilatation of pluriharmonic mappings and to the dilatation of their affine transformations, revealing differences between the theories in the plane and in higher dimensions. An example is given that rules out the possibility for a shear construction theorem to hold in C n , for n ≥ 2 . Pluriharmonic mapping Elsevier Schwarzian derivative Elsevier Pre-Schwarzian derivative Elsevier Ferrada-Salas, Álvaro oth Hernández, Rodrigo oth Vargas, Rodrigo oth Enthalten in Elsevier Sibilio, Pasquale ELSEVIER In silico drug repurposing in COVID-19: A network-based analysis 2021 Amsterdam [u.a.] (DE-627)ELV006634001 volume:495 year:2021 number:1 day:1 month:03 pages:0 https://doi.org/10.1016/j.jmaa.2020.124716 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA SSG-OPC-PHA 44.40 Pharmazie Pharmazeutika VZ AR 495 2021 1 1 0301 0 |
| allfieldsGer |
10.1016/j.jmaa.2020.124716 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001265.pica (DE-627)ELV051971984 (ELSEVIER)S0022-247X(20)30879-9 DE-627 ger DE-627 rakwb eng 610 VZ 44.40 bkl Efraimidis, Iason verfasserin aut Schwarzian derivatives for pluriharmonic mappings 2021transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier A pre-Schwarzian and a Schwarzian derivative for locally univalent pluriharmonic mappings in C n are introduced. Basic properties such as the chain rule, multiplicative invariance and affine invariance are proved for these operators. It is shown that the pre-Schwarzian is stable only with respect to rotations of the identity. A characterization is given for the case when the pre-Schwarzian derivative is holomorphic. Furthermore, it is shown that if the Schwarzian derivative of a pluriharmonic mapping vanishes then the analytic part of this mapping is a Möbius transformation. Some observations are made related to the dilatation of pluriharmonic mappings and to the dilatation of their affine transformations, revealing differences between the theories in the plane and in higher dimensions. An example is given that rules out the possibility for a shear construction theorem to hold in C n , for n ≥ 2 . A pre-Schwarzian and a Schwarzian derivative for locally univalent pluriharmonic mappings in C n are introduced. Basic properties such as the chain rule, multiplicative invariance and affine invariance are proved for these operators. It is shown that the pre-Schwarzian is stable only with respect to rotations of the identity. A characterization is given for the case when the pre-Schwarzian derivative is holomorphic. Furthermore, it is shown that if the Schwarzian derivative of a pluriharmonic mapping vanishes then the analytic part of this mapping is a Möbius transformation. Some observations are made related to the dilatation of pluriharmonic mappings and to the dilatation of their affine transformations, revealing differences between the theories in the plane and in higher dimensions. An example is given that rules out the possibility for a shear construction theorem to hold in C n , for n ≥ 2 . Pluriharmonic mapping Elsevier Schwarzian derivative Elsevier Pre-Schwarzian derivative Elsevier Ferrada-Salas, Álvaro oth Hernández, Rodrigo oth Vargas, Rodrigo oth Enthalten in Elsevier Sibilio, Pasquale ELSEVIER In silico drug repurposing in COVID-19: A network-based analysis 2021 Amsterdam [u.a.] (DE-627)ELV006634001 volume:495 year:2021 number:1 day:1 month:03 pages:0 https://doi.org/10.1016/j.jmaa.2020.124716 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA SSG-OPC-PHA 44.40 Pharmazie Pharmazeutika VZ AR 495 2021 1 1 0301 0 |
| allfieldsSound |
10.1016/j.jmaa.2020.124716 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001265.pica (DE-627)ELV051971984 (ELSEVIER)S0022-247X(20)30879-9 DE-627 ger DE-627 rakwb eng 610 VZ 44.40 bkl Efraimidis, Iason verfasserin aut Schwarzian derivatives for pluriharmonic mappings 2021transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier A pre-Schwarzian and a Schwarzian derivative for locally univalent pluriharmonic mappings in C n are introduced. Basic properties such as the chain rule, multiplicative invariance and affine invariance are proved for these operators. It is shown that the pre-Schwarzian is stable only with respect to rotations of the identity. A characterization is given for the case when the pre-Schwarzian derivative is holomorphic. Furthermore, it is shown that if the Schwarzian derivative of a pluriharmonic mapping vanishes then the analytic part of this mapping is a Möbius transformation. Some observations are made related to the dilatation of pluriharmonic mappings and to the dilatation of their affine transformations, revealing differences between the theories in the plane and in higher dimensions. An example is given that rules out the possibility for a shear construction theorem to hold in C n , for n ≥ 2 . A pre-Schwarzian and a Schwarzian derivative for locally univalent pluriharmonic mappings in C n are introduced. Basic properties such as the chain rule, multiplicative invariance and affine invariance are proved for these operators. It is shown that the pre-Schwarzian is stable only with respect to rotations of the identity. A characterization is given for the case when the pre-Schwarzian derivative is holomorphic. Furthermore, it is shown that if the Schwarzian derivative of a pluriharmonic mapping vanishes then the analytic part of this mapping is a Möbius transformation. Some observations are made related to the dilatation of pluriharmonic mappings and to the dilatation of their affine transformations, revealing differences between the theories in the plane and in higher dimensions. An example is given that rules out the possibility for a shear construction theorem to hold in C n , for n ≥ 2 . Pluriharmonic mapping Elsevier Schwarzian derivative Elsevier Pre-Schwarzian derivative Elsevier Ferrada-Salas, Álvaro oth Hernández, Rodrigo oth Vargas, Rodrigo oth Enthalten in Elsevier Sibilio, Pasquale ELSEVIER In silico drug repurposing in COVID-19: A network-based analysis 2021 Amsterdam [u.a.] (DE-627)ELV006634001 volume:495 year:2021 number:1 day:1 month:03 pages:0 https://doi.org/10.1016/j.jmaa.2020.124716 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA SSG-OPC-PHA 44.40 Pharmazie Pharmazeutika VZ AR 495 2021 1 1 0301 0 |
| language |
English |
| source |
Enthalten in In silico drug repurposing in COVID-19: A network-based analysis Amsterdam [u.a.] volume:495 year:2021 number:1 day:1 month:03 pages:0 |
| sourceStr |
Enthalten in In silico drug repurposing in COVID-19: A network-based analysis Amsterdam [u.a.] volume:495 year:2021 number:1 day:1 month:03 pages:0 |
| format_phy_str_mv |
Article |
| bklname |
Pharmazie Pharmazeutika |
| institution |
findex.gbv.de |
| topic_facet |
Pluriharmonic mapping Schwarzian derivative Pre-Schwarzian derivative |
| dewey-raw |
610 |
| isfreeaccess_bool |
false |
| container_title |
In silico drug repurposing in COVID-19: A network-based analysis |
| authorswithroles_txt_mv |
Efraimidis, Iason @@aut@@ Ferrada-Salas, Álvaro @@oth@@ Hernández, Rodrigo @@oth@@ Vargas, Rodrigo @@oth@@ |
| publishDateDaySort_date |
2021-01-01T00:00:00Z |
| hierarchy_top_id |
ELV006634001 |
| dewey-sort |
3610 |
| id |
ELV051971984 |
| language_de |
englisch |
| fullrecord |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">ELV051971984</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230626032703.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">210910s2021 xx |||||o 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1016/j.jmaa.2020.124716</subfield><subfield code="2">doi</subfield></datafield><datafield tag="028" ind1="5" ind2="2"><subfield code="a">/cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001265.pica</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)ELV051971984</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ELSEVIER)S0022-247X(20)30879-9</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">610</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">44.40</subfield><subfield code="2">bkl</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Efraimidis, Iason</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Schwarzian derivatives for pluriharmonic mappings</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2021transfer abstract</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">zzz</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">z</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">zu</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">A pre-Schwarzian and a Schwarzian derivative for locally univalent pluriharmonic mappings in C n are introduced. Basic properties such as the chain rule, multiplicative invariance and affine invariance are proved for these operators. It is shown that the pre-Schwarzian is stable only with respect to rotations of the identity. A characterization is given for the case when the pre-Schwarzian derivative is holomorphic. Furthermore, it is shown that if the Schwarzian derivative of a pluriharmonic mapping vanishes then the analytic part of this mapping is a Möbius transformation. Some observations are made related to the dilatation of pluriharmonic mappings and to the dilatation of their affine transformations, revealing differences between the theories in the plane and in higher dimensions. An example is given that rules out the possibility for a shear construction theorem to hold in C n , for n ≥ 2 .</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">A pre-Schwarzian and a Schwarzian derivative for locally univalent pluriharmonic mappings in C n are introduced. Basic properties such as the chain rule, multiplicative invariance and affine invariance are proved for these operators. It is shown that the pre-Schwarzian is stable only with respect to rotations of the identity. A characterization is given for the case when the pre-Schwarzian derivative is holomorphic. Furthermore, it is shown that if the Schwarzian derivative of a pluriharmonic mapping vanishes then the analytic part of this mapping is a Möbius transformation. Some observations are made related to the dilatation of pluriharmonic mappings and to the dilatation of their affine transformations, revealing differences between the theories in the plane and in higher dimensions. An example is given that rules out the possibility for a shear construction theorem to hold in C n , for n ≥ 2 .</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Pluriharmonic mapping</subfield><subfield code="2">Elsevier</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Schwarzian derivative</subfield><subfield code="2">Elsevier</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Pre-Schwarzian derivative</subfield><subfield code="2">Elsevier</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Ferrada-Salas, Álvaro</subfield><subfield code="4">oth</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Hernández, Rodrigo</subfield><subfield code="4">oth</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Vargas, Rodrigo</subfield><subfield code="4">oth</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="n">Elsevier</subfield><subfield code="a">Sibilio, Pasquale ELSEVIER</subfield><subfield code="t">In silico drug repurposing in COVID-19: A network-based analysis</subfield><subfield code="d">2021</subfield><subfield code="g">Amsterdam [u.a.]</subfield><subfield code="w">(DE-627)ELV006634001</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:495</subfield><subfield code="g">year:2021</subfield><subfield code="g">number:1</subfield><subfield code="g">day:1</subfield><subfield code="g">month:03</subfield><subfield code="g">pages:0</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1016/j.jmaa.2020.124716</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_U</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ELV</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_U</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-PHA</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-PHA</subfield></datafield><datafield tag="936" ind1="b" ind2="k"><subfield code="a">44.40</subfield><subfield code="j">Pharmazie</subfield><subfield code="j">Pharmazeutika</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">495</subfield><subfield code="j">2021</subfield><subfield code="e">1</subfield><subfield code="b">1</subfield><subfield code="c">0301</subfield><subfield code="h">0</subfield></datafield></record></collection>
|
| author |
Efraimidis, Iason |
| spellingShingle |
Efraimidis, Iason ddc 610 bkl 44.40 Elsevier Pluriharmonic mapping Elsevier Schwarzian derivative Elsevier Pre-Schwarzian derivative Schwarzian derivatives for pluriharmonic mappings |
| authorStr |
Efraimidis, Iason |
| ppnlink_with_tag_str_mv |
@@773@@(DE-627)ELV006634001 |
| format |
electronic Article |
| dewey-ones |
610 - Medicine & health |
| delete_txt_mv |
keep |
| author_role |
aut |
| collection |
elsevier |
| remote_str |
true |
| illustrated |
Not Illustrated |
| topic_title |
610 VZ 44.40 bkl Schwarzian derivatives for pluriharmonic mappings Pluriharmonic mapping Elsevier Schwarzian derivative Elsevier Pre-Schwarzian derivative Elsevier |
| topic |
ddc 610 bkl 44.40 Elsevier Pluriharmonic mapping Elsevier Schwarzian derivative Elsevier Pre-Schwarzian derivative |
| topic_unstemmed |
ddc 610 bkl 44.40 Elsevier Pluriharmonic mapping Elsevier Schwarzian derivative Elsevier Pre-Schwarzian derivative |
| topic_browse |
ddc 610 bkl 44.40 Elsevier Pluriharmonic mapping Elsevier Schwarzian derivative Elsevier Pre-Schwarzian derivative |
| format_facet |
Elektronische Aufsätze Aufsätze Elektronische Ressource |
| format_main_str_mv |
Text Zeitschrift/Artikel |
| carriertype_str_mv |
zu |
| author2_variant |
á f s áfs r h rh r v rv |
| hierarchy_parent_title |
In silico drug repurposing in COVID-19: A network-based analysis |
| hierarchy_parent_id |
ELV006634001 |
| dewey-tens |
610 - Medicine & health |
| hierarchy_top_title |
In silico drug repurposing in COVID-19: A network-based analysis |
| isfreeaccess_txt |
false |
| familylinks_str_mv |
(DE-627)ELV006634001 |
| title |
Schwarzian derivatives for pluriharmonic mappings |
| ctrlnum |
(DE-627)ELV051971984 (ELSEVIER)S0022-247X(20)30879-9 |
| title_full |
Schwarzian derivatives for pluriharmonic mappings |
| author_sort |
Efraimidis, Iason |
| journal |
In silico drug repurposing in COVID-19: A network-based analysis |
| journalStr |
In silico drug repurposing in COVID-19: A network-based analysis |
| lang_code |
eng |
| isOA_bool |
false |
| dewey-hundreds |
600 - Technology |
| recordtype |
marc |
| publishDateSort |
2021 |
| contenttype_str_mv |
zzz |
| container_start_page |
0 |
| author_browse |
Efraimidis, Iason |
| container_volume |
495 |
| class |
610 VZ 44.40 bkl |
| format_se |
Elektronische Aufsätze |
| author-letter |
Efraimidis, Iason |
| doi_str_mv |
10.1016/j.jmaa.2020.124716 |
| dewey-full |
610 |
| title_sort |
schwarzian derivatives for pluriharmonic mappings |
| title_auth |
Schwarzian derivatives for pluriharmonic mappings |
| abstract |
A pre-Schwarzian and a Schwarzian derivative for locally univalent pluriharmonic mappings in C n are introduced. Basic properties such as the chain rule, multiplicative invariance and affine invariance are proved for these operators. It is shown that the pre-Schwarzian is stable only with respect to rotations of the identity. A characterization is given for the case when the pre-Schwarzian derivative is holomorphic. Furthermore, it is shown that if the Schwarzian derivative of a pluriharmonic mapping vanishes then the analytic part of this mapping is a Möbius transformation. Some observations are made related to the dilatation of pluriharmonic mappings and to the dilatation of their affine transformations, revealing differences between the theories in the plane and in higher dimensions. An example is given that rules out the possibility for a shear construction theorem to hold in C n , for n ≥ 2 . |
| abstractGer |
A pre-Schwarzian and a Schwarzian derivative for locally univalent pluriharmonic mappings in C n are introduced. Basic properties such as the chain rule, multiplicative invariance and affine invariance are proved for these operators. It is shown that the pre-Schwarzian is stable only with respect to rotations of the identity. A characterization is given for the case when the pre-Schwarzian derivative is holomorphic. Furthermore, it is shown that if the Schwarzian derivative of a pluriharmonic mapping vanishes then the analytic part of this mapping is a Möbius transformation. Some observations are made related to the dilatation of pluriharmonic mappings and to the dilatation of their affine transformations, revealing differences between the theories in the plane and in higher dimensions. An example is given that rules out the possibility for a shear construction theorem to hold in C n , for n ≥ 2 . |
| abstract_unstemmed |
A pre-Schwarzian and a Schwarzian derivative for locally univalent pluriharmonic mappings in C n are introduced. Basic properties such as the chain rule, multiplicative invariance and affine invariance are proved for these operators. It is shown that the pre-Schwarzian is stable only with respect to rotations of the identity. A characterization is given for the case when the pre-Schwarzian derivative is holomorphic. Furthermore, it is shown that if the Schwarzian derivative of a pluriharmonic mapping vanishes then the analytic part of this mapping is a Möbius transformation. Some observations are made related to the dilatation of pluriharmonic mappings and to the dilatation of their affine transformations, revealing differences between the theories in the plane and in higher dimensions. An example is given that rules out the possibility for a shear construction theorem to hold in C n , for n ≥ 2 . |
| collection_details |
GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA SSG-OPC-PHA |
| container_issue |
1 |
| title_short |
Schwarzian derivatives for pluriharmonic mappings |
| url |
https://doi.org/10.1016/j.jmaa.2020.124716 |
| remote_bool |
true |
| author2 |
Ferrada-Salas, Álvaro Hernández, Rodrigo Vargas, Rodrigo |
| author2Str |
Ferrada-Salas, Álvaro Hernández, Rodrigo Vargas, Rodrigo |
| ppnlink |
ELV006634001 |
| mediatype_str_mv |
z |
| isOA_txt |
false |
| hochschulschrift_bool |
false |
| author2_role |
oth oth oth |
| doi_str |
10.1016/j.jmaa.2020.124716 |
| up_date |
2024-07-06T21:45:00.754Z |
| _version_ |
1803867705316474880 |
| fullrecord_marcxml |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">ELV051971984</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230626032703.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">210910s2021 xx |||||o 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1016/j.jmaa.2020.124716</subfield><subfield code="2">doi</subfield></datafield><datafield tag="028" ind1="5" ind2="2"><subfield code="a">/cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001265.pica</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)ELV051971984</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ELSEVIER)S0022-247X(20)30879-9</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">610</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">44.40</subfield><subfield code="2">bkl</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Efraimidis, Iason</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Schwarzian derivatives for pluriharmonic mappings</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2021transfer abstract</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">zzz</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">z</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">zu</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">A pre-Schwarzian and a Schwarzian derivative for locally univalent pluriharmonic mappings in C n are introduced. Basic properties such as the chain rule, multiplicative invariance and affine invariance are proved for these operators. It is shown that the pre-Schwarzian is stable only with respect to rotations of the identity. A characterization is given for the case when the pre-Schwarzian derivative is holomorphic. Furthermore, it is shown that if the Schwarzian derivative of a pluriharmonic mapping vanishes then the analytic part of this mapping is a Möbius transformation. Some observations are made related to the dilatation of pluriharmonic mappings and to the dilatation of their affine transformations, revealing differences between the theories in the plane and in higher dimensions. An example is given that rules out the possibility for a shear construction theorem to hold in C n , for n ≥ 2 .</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">A pre-Schwarzian and a Schwarzian derivative for locally univalent pluriharmonic mappings in C n are introduced. Basic properties such as the chain rule, multiplicative invariance and affine invariance are proved for these operators. It is shown that the pre-Schwarzian is stable only with respect to rotations of the identity. A characterization is given for the case when the pre-Schwarzian derivative is holomorphic. Furthermore, it is shown that if the Schwarzian derivative of a pluriharmonic mapping vanishes then the analytic part of this mapping is a Möbius transformation. Some observations are made related to the dilatation of pluriharmonic mappings and to the dilatation of their affine transformations, revealing differences between the theories in the plane and in higher dimensions. An example is given that rules out the possibility for a shear construction theorem to hold in C n , for n ≥ 2 .</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Pluriharmonic mapping</subfield><subfield code="2">Elsevier</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Schwarzian derivative</subfield><subfield code="2">Elsevier</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Pre-Schwarzian derivative</subfield><subfield code="2">Elsevier</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Ferrada-Salas, Álvaro</subfield><subfield code="4">oth</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Hernández, Rodrigo</subfield><subfield code="4">oth</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Vargas, Rodrigo</subfield><subfield code="4">oth</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="n">Elsevier</subfield><subfield code="a">Sibilio, Pasquale ELSEVIER</subfield><subfield code="t">In silico drug repurposing in COVID-19: A network-based analysis</subfield><subfield code="d">2021</subfield><subfield code="g">Amsterdam [u.a.]</subfield><subfield code="w">(DE-627)ELV006634001</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:495</subfield><subfield code="g">year:2021</subfield><subfield code="g">number:1</subfield><subfield code="g">day:1</subfield><subfield code="g">month:03</subfield><subfield code="g">pages:0</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1016/j.jmaa.2020.124716</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_U</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ELV</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_U</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-PHA</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-PHA</subfield></datafield><datafield tag="936" ind1="b" ind2="k"><subfield code="a">44.40</subfield><subfield code="j">Pharmazie</subfield><subfield code="j">Pharmazeutika</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">495</subfield><subfield code="j">2021</subfield><subfield code="e">1</subfield><subfield code="b">1</subfield><subfield code="c">0301</subfield><subfield code="h">0</subfield></datafield></record></collection>
|
| score |
7.400791 |