Localization Operators on Quaternionic Hilbert Spaces
Abstract In this paper, we study the localization operator associated to quaternionic continuous wavelet transform. We show that the quaternionic localization operator is bounded if the continuous wavelet transform is real valued. Also, we investigate the relation between the localization operators...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Esmaeelzadeh, Fatemeh [verfasserIn] Langari, Malihe [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2020 |
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| Schlagwörter: |
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| Anmerkung: |
© Shiraz University 2020 |
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| Übergeordnetes Werk: |
Enthalten in: Iranian journal of science and technology - Cham, Switzerland : Springer International Pubishing, 2004, 45(2020), 4 vom: 22. Nov., Seite 1355-1360 |
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| Übergeordnetes Werk: |
volume:45 ; year:2020 ; number:4 ; day:22 ; month:11 ; pages:1355-1360 |
| Links: |
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| DOI / URN: |
10.1007/s40995-020-01029-5 |
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SPR044440448 |
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| 520 | |a Abstract In this paper, we study the localization operator associated to quaternionic continuous wavelet transform. We show that the quaternionic localization operator is bounded if the continuous wavelet transform is real valued. Also, we investigate the relation between the localization operators in the setting of quaternion and complex Hilbert spaces. Furthermore, we prove that the quaternionic two-wavelet localization operator is bounded under some conditions. | ||
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| 650 | 4 | |a Quaternionic Hilbert spaces |7 (dpeaa)DE-He213 | |
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| 650 | 4 | |a Quaternionic two-wavelet localization operators |7 (dpeaa)DE-He213 | |
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10.1007/s40995-020-01029-5 doi (DE-627)SPR044440448 (SPR)s40995-020-01029-5-e DE-627 ger DE-627 rakwb eng 500 600 ASE 500 600 ASE Esmaeelzadeh, Fatemeh verfasserin aut Localization Operators on Quaternionic Hilbert Spaces 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Shiraz University 2020 Abstract In this paper, we study the localization operator associated to quaternionic continuous wavelet transform. We show that the quaternionic localization operator is bounded if the continuous wavelet transform is real valued. Also, we investigate the relation between the localization operators in the setting of quaternion and complex Hilbert spaces. Furthermore, we prove that the quaternionic two-wavelet localization operator is bounded under some conditions. Quaternion (dpeaa)DE-He213 Quaternionic Hilbert spaces (dpeaa)DE-He213 Quaternionic localization operators (dpeaa)DE-He213 Quaternionic two-wavelet localization operators (dpeaa)DE-He213 Langari, Malihe verfasserin aut Enthalten in Iranian journal of science and technology Cham, Switzerland : Springer International Pubishing, 2004 45(2020), 4 vom: 22. Nov., Seite 1355-1360 (DE-627)SPR038034816 (DE-600)2843077-3 2364-1819 nnns volume:45 year:2020 number:4 day:22 month:11 pages:1355-1360 https://dx.doi.org/10.1007/s40995-020-01029-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER AR 45 2020 4 22 11 1355-1360 |
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10.1007/s40995-020-01029-5 doi (DE-627)SPR044440448 (SPR)s40995-020-01029-5-e DE-627 ger DE-627 rakwb eng 500 600 ASE 500 600 ASE Esmaeelzadeh, Fatemeh verfasserin aut Localization Operators on Quaternionic Hilbert Spaces 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Shiraz University 2020 Abstract In this paper, we study the localization operator associated to quaternionic continuous wavelet transform. We show that the quaternionic localization operator is bounded if the continuous wavelet transform is real valued. Also, we investigate the relation between the localization operators in the setting of quaternion and complex Hilbert spaces. Furthermore, we prove that the quaternionic two-wavelet localization operator is bounded under some conditions. Quaternion (dpeaa)DE-He213 Quaternionic Hilbert spaces (dpeaa)DE-He213 Quaternionic localization operators (dpeaa)DE-He213 Quaternionic two-wavelet localization operators (dpeaa)DE-He213 Langari, Malihe verfasserin aut Enthalten in Iranian journal of science and technology Cham, Switzerland : Springer International Pubishing, 2004 45(2020), 4 vom: 22. Nov., Seite 1355-1360 (DE-627)SPR038034816 (DE-600)2843077-3 2364-1819 nnns volume:45 year:2020 number:4 day:22 month:11 pages:1355-1360 https://dx.doi.org/10.1007/s40995-020-01029-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER AR 45 2020 4 22 11 1355-1360 |
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10.1007/s40995-020-01029-5 doi (DE-627)SPR044440448 (SPR)s40995-020-01029-5-e DE-627 ger DE-627 rakwb eng 500 600 ASE 500 600 ASE Esmaeelzadeh, Fatemeh verfasserin aut Localization Operators on Quaternionic Hilbert Spaces 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Shiraz University 2020 Abstract In this paper, we study the localization operator associated to quaternionic continuous wavelet transform. We show that the quaternionic localization operator is bounded if the continuous wavelet transform is real valued. Also, we investigate the relation between the localization operators in the setting of quaternion and complex Hilbert spaces. Furthermore, we prove that the quaternionic two-wavelet localization operator is bounded under some conditions. Quaternion (dpeaa)DE-He213 Quaternionic Hilbert spaces (dpeaa)DE-He213 Quaternionic localization operators (dpeaa)DE-He213 Quaternionic two-wavelet localization operators (dpeaa)DE-He213 Langari, Malihe verfasserin aut Enthalten in Iranian journal of science and technology Cham, Switzerland : Springer International Pubishing, 2004 45(2020), 4 vom: 22. Nov., Seite 1355-1360 (DE-627)SPR038034816 (DE-600)2843077-3 2364-1819 nnns volume:45 year:2020 number:4 day:22 month:11 pages:1355-1360 https://dx.doi.org/10.1007/s40995-020-01029-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER AR 45 2020 4 22 11 1355-1360 |
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10.1007/s40995-020-01029-5 doi (DE-627)SPR044440448 (SPR)s40995-020-01029-5-e DE-627 ger DE-627 rakwb eng 500 600 ASE 500 600 ASE Esmaeelzadeh, Fatemeh verfasserin aut Localization Operators on Quaternionic Hilbert Spaces 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Shiraz University 2020 Abstract In this paper, we study the localization operator associated to quaternionic continuous wavelet transform. We show that the quaternionic localization operator is bounded if the continuous wavelet transform is real valued. Also, we investigate the relation between the localization operators in the setting of quaternion and complex Hilbert spaces. Furthermore, we prove that the quaternionic two-wavelet localization operator is bounded under some conditions. Quaternion (dpeaa)DE-He213 Quaternionic Hilbert spaces (dpeaa)DE-He213 Quaternionic localization operators (dpeaa)DE-He213 Quaternionic two-wavelet localization operators (dpeaa)DE-He213 Langari, Malihe verfasserin aut Enthalten in Iranian journal of science and technology Cham, Switzerland : Springer International Pubishing, 2004 45(2020), 4 vom: 22. Nov., Seite 1355-1360 (DE-627)SPR038034816 (DE-600)2843077-3 2364-1819 nnns volume:45 year:2020 number:4 day:22 month:11 pages:1355-1360 https://dx.doi.org/10.1007/s40995-020-01029-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER AR 45 2020 4 22 11 1355-1360 |
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10.1007/s40995-020-01029-5 doi (DE-627)SPR044440448 (SPR)s40995-020-01029-5-e DE-627 ger DE-627 rakwb eng 500 600 ASE 500 600 ASE Esmaeelzadeh, Fatemeh verfasserin aut Localization Operators on Quaternionic Hilbert Spaces 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Shiraz University 2020 Abstract In this paper, we study the localization operator associated to quaternionic continuous wavelet transform. We show that the quaternionic localization operator is bounded if the continuous wavelet transform is real valued. Also, we investigate the relation between the localization operators in the setting of quaternion and complex Hilbert spaces. Furthermore, we prove that the quaternionic two-wavelet localization operator is bounded under some conditions. Quaternion (dpeaa)DE-He213 Quaternionic Hilbert spaces (dpeaa)DE-He213 Quaternionic localization operators (dpeaa)DE-He213 Quaternionic two-wavelet localization operators (dpeaa)DE-He213 Langari, Malihe verfasserin aut Enthalten in Iranian journal of science and technology Cham, Switzerland : Springer International Pubishing, 2004 45(2020), 4 vom: 22. Nov., Seite 1355-1360 (DE-627)SPR038034816 (DE-600)2843077-3 2364-1819 nnns volume:45 year:2020 number:4 day:22 month:11 pages:1355-1360 https://dx.doi.org/10.1007/s40995-020-01029-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER AR 45 2020 4 22 11 1355-1360 |
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Abstract In this paper, we study the localization operator associated to quaternionic continuous wavelet transform. We show that the quaternionic localization operator is bounded if the continuous wavelet transform is real valued. Also, we investigate the relation between the localization operators in the setting of quaternion and complex Hilbert spaces. Furthermore, we prove that the quaternionic two-wavelet localization operator is bounded under some conditions. © Shiraz University 2020 |
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Abstract In this paper, we study the localization operator associated to quaternionic continuous wavelet transform. We show that the quaternionic localization operator is bounded if the continuous wavelet transform is real valued. Also, we investigate the relation between the localization operators in the setting of quaternion and complex Hilbert spaces. Furthermore, we prove that the quaternionic two-wavelet localization operator is bounded under some conditions. © Shiraz University 2020 |
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Abstract In this paper, we study the localization operator associated to quaternionic continuous wavelet transform. We show that the quaternionic localization operator is bounded if the continuous wavelet transform is real valued. Also, we investigate the relation between the localization operators in the setting of quaternion and complex Hilbert spaces. Furthermore, we prove that the quaternionic two-wavelet localization operator is bounded under some conditions. © Shiraz University 2020 |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">SPR044440448</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20220112035036.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">210630s2020 xx |||||o 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s40995-020-01029-5</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)SPR044440448</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(SPR)s40995-020-01029-5-e</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">500</subfield><subfield code="a">600</subfield><subfield code="q">ASE</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">500</subfield><subfield code="a">600</subfield><subfield code="q">ASE</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Esmaeelzadeh, Fatemeh</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Localization Operators on Quaternionic Hilbert Spaces</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2020</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">Computermedien</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Online-Ressource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Shiraz University 2020</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract In this paper, we study the localization operator associated to quaternionic continuous wavelet transform. We show that the quaternionic localization operator is bounded if the continuous wavelet transform is real valued. Also, we investigate the relation between the localization operators in the setting of quaternion and complex Hilbert spaces. Furthermore, we prove that the quaternionic two-wavelet localization operator is bounded under some conditions.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Quaternion</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Quaternionic Hilbert spaces</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Quaternionic localization operators</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Quaternionic two-wavelet localization operators</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Langari, Malihe</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Iranian journal of science and technology</subfield><subfield code="d">Cham, Switzerland : Springer International Pubishing, 2004</subfield><subfield code="g">45(2020), 4 vom: 22. Nov., Seite 1355-1360</subfield><subfield code="w">(DE-627)SPR038034816</subfield><subfield code="w">(DE-600)2843077-3</subfield><subfield code="x">2364-1819</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:45</subfield><subfield code="g">year:2020</subfield><subfield code="g">number:4</subfield><subfield code="g">day:22</subfield><subfield code="g">month:11</subfield><subfield code="g">pages:1355-1360</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://dx.doi.org/10.1007/s40995-020-01029-5</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_SPRINGER</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">45</subfield><subfield code="j">2020</subfield><subfield code="e">4</subfield><subfield code="b">22</subfield><subfield code="c">11</subfield><subfield code="h">1355-1360</subfield></datafield></record></collection>
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