On Nash approximation of complex analytic sets in Runge domains
We prove that every complex analytic set X in a Runge domain Ω can be approximated by Nash sets on any relatively compact subdomain Ω 0 of Ω. Moreover, for every Nash subset Y of Ω with Y ⊂ X , the approximating sets can be chosen so that they contain Y ∩ Ω 0 . As a consequence, we derive a necessar...
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Gespeichert in:
| Autor*in: |
Adamus, Janusz [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2015 |
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| Schlagwörter: |
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| Umfang: |
14 |
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| 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:423 ; year:2015 ; number:1 ; day:1 ; month:03 ; pages:229-242 ; extent:14 |
| Links: |
|---|
| DOI / URN: |
10.1016/j.jmaa.2014.09.070 |
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| 520 | |a We prove that every complex analytic set X in a Runge domain Ω can be approximated by Nash sets on any relatively compact subdomain Ω 0 of Ω. Moreover, for every Nash subset Y of Ω with Y ⊂ X , the approximating sets can be chosen so that they contain Y ∩ Ω 0 . As a consequence, we derive a necessary and sufficient condition for a complex analytic set X to admit a Nash approximation which coincides with X along its arbitrary given subset. | ||
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10.1016/j.jmaa.2014.09.070 doi GBVA2015022000019.pica (DE-627)ELV018945902 (ELSEVIER)S0022-247X(14)00903-2 DE-627 ger DE-627 rakwb eng 510 510 DE-600 610 VZ 44.40 bkl Adamus, Janusz verfasserin aut On Nash approximation of complex analytic sets in Runge domains 2015 14 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We prove that every complex analytic set X in a Runge domain Ω can be approximated by Nash sets on any relatively compact subdomain Ω 0 of Ω. Moreover, for every Nash subset Y of Ω with Y ⊂ X , the approximating sets can be chosen so that they contain Y ∩ Ω 0 . As a consequence, we derive a necessary and sufficient condition for a complex analytic set X to admit a Nash approximation which coincides with X along its arbitrary given subset. Approximation Elsevier Nash set Elsevier Analytic set Elsevier Runge domain Elsevier Bilski, Marcin 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:423 year:2015 number:1 day:1 month:03 pages:229-242 extent:14 https://doi.org/10.1016/j.jmaa.2014.09.070 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA SSG-OPC-PHA 44.40 Pharmazie Pharmazeutika VZ AR 423 2015 1 1 0301 229-242 14 045F 510 |
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10.1016/j.jmaa.2014.09.070 doi GBVA2015022000019.pica (DE-627)ELV018945902 (ELSEVIER)S0022-247X(14)00903-2 DE-627 ger DE-627 rakwb eng 510 510 DE-600 610 VZ 44.40 bkl Adamus, Janusz verfasserin aut On Nash approximation of complex analytic sets in Runge domains 2015 14 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We prove that every complex analytic set X in a Runge domain Ω can be approximated by Nash sets on any relatively compact subdomain Ω 0 of Ω. Moreover, for every Nash subset Y of Ω with Y ⊂ X , the approximating sets can be chosen so that they contain Y ∩ Ω 0 . As a consequence, we derive a necessary and sufficient condition for a complex analytic set X to admit a Nash approximation which coincides with X along its arbitrary given subset. Approximation Elsevier Nash set Elsevier Analytic set Elsevier Runge domain Elsevier Bilski, Marcin 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:423 year:2015 number:1 day:1 month:03 pages:229-242 extent:14 https://doi.org/10.1016/j.jmaa.2014.09.070 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA SSG-OPC-PHA 44.40 Pharmazie Pharmazeutika VZ AR 423 2015 1 1 0301 229-242 14 045F 510 |
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10.1016/j.jmaa.2014.09.070 doi GBVA2015022000019.pica (DE-627)ELV018945902 (ELSEVIER)S0022-247X(14)00903-2 DE-627 ger DE-627 rakwb eng 510 510 DE-600 610 VZ 44.40 bkl Adamus, Janusz verfasserin aut On Nash approximation of complex analytic sets in Runge domains 2015 14 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We prove that every complex analytic set X in a Runge domain Ω can be approximated by Nash sets on any relatively compact subdomain Ω 0 of Ω. Moreover, for every Nash subset Y of Ω with Y ⊂ X , the approximating sets can be chosen so that they contain Y ∩ Ω 0 . As a consequence, we derive a necessary and sufficient condition for a complex analytic set X to admit a Nash approximation which coincides with X along its arbitrary given subset. Approximation Elsevier Nash set Elsevier Analytic set Elsevier Runge domain Elsevier Bilski, Marcin 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:423 year:2015 number:1 day:1 month:03 pages:229-242 extent:14 https://doi.org/10.1016/j.jmaa.2014.09.070 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA SSG-OPC-PHA 44.40 Pharmazie Pharmazeutika VZ AR 423 2015 1 1 0301 229-242 14 045F 510 |
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We prove that every complex analytic set X in a Runge domain Ω can be approximated by Nash sets on any relatively compact subdomain Ω 0 of Ω. Moreover, for every Nash subset Y of Ω with Y ⊂ X , the approximating sets can be chosen so that they contain Y ∩ Ω 0 . As a consequence, we derive a necessary and sufficient condition for a complex analytic set X to admit a Nash approximation which coincides with X along its arbitrary given subset. |
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We prove that every complex analytic set X in a Runge domain Ω can be approximated by Nash sets on any relatively compact subdomain Ω 0 of Ω. Moreover, for every Nash subset Y of Ω with Y ⊂ X , the approximating sets can be chosen so that they contain Y ∩ Ω 0 . As a consequence, we derive a necessary and sufficient condition for a complex analytic set X to admit a Nash approximation which coincides with X along its arbitrary given subset. |
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We prove that every complex analytic set X in a Runge domain Ω can be approximated by Nash sets on any relatively compact subdomain Ω 0 of Ω. Moreover, for every Nash subset Y of Ω with Y ⊂ X , the approximating sets can be chosen so that they contain Y ∩ Ω 0 . As a consequence, we derive a necessary and sufficient condition for a complex analytic set X to admit a Nash approximation which coincides with X along its arbitrary given subset. |
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