Elliptic convolution operators on non-quasianalytic classes

Abstract. For those nonquasianalytic classes in which an extension of the classical Borel's theorem holds we show that every elliptic convolution operator is the composition of a translation and an invertible ultradifferential operator. This answers a question asked by Chou in: La transformatio...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Fernández, C. [verfasserIn] Galbis, A. Gómez, M.C.

Format:	Artikel
Sprache:	Englisch

Erschienen:	2001

Schlagwörter:	Convolution Operator

Anmerkung:	© Birkhäuser Verlag, Basel 2001

Übergeordnetes Werk:	Enthalten in: Archiv der Mathematik - Birkhäuser Verlag, 1948, 76(2001), 2 vom: Feb., Seite 133-140
Übergeordnetes Werk:	volume:76 ; year:2001 ; number:2 ; month:02 ; pages:133-140

Links:	Volltext

DOI / URN:	10.1007/s000130050553

Katalog-ID:	OLC2049221355

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allfields	10.1007/s000130050553 doi (DE-627)OLC2049221355 (DE-He213)s000130050553-p DE-627 ger DE-627 rakwb eng 510 050 VZ 17,1 ssgn 31.00 bkl Fernández, C. verfasserin aut Elliptic convolution operators on non-quasianalytic classes 2001 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Birkhäuser Verlag, Basel 2001 Abstract. For those nonquasianalytic classes in which an extension of the classical Borel's theorem holds we show that every elliptic convolution operator is the composition of a translation and an invertible ultradifferential operator. This answers a question asked by Chou in: La transformation de Fourier complexe et l'équation de convolution, LNM 325, Berlin-Heidelberg-New York (1973). Convolution Operator Galbis, A. aut Gómez, M.C. aut Enthalten in Archiv der Mathematik Birkhäuser Verlag, 1948 76(2001), 2 vom: Feb., Seite 133-140 (DE-627)129061581 (DE-600)475-3 (DE-576)014392364 0003-889X nnns volume:76 year:2001 number:2 month:02 pages:133-140 https://doi.org/10.1007/s000130050553 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_24 GBV_ILN_30 GBV_ILN_40 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_267 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2012 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4027 GBV_ILN_4036 GBV_ILN_4082 GBV_ILN_4126 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4311 GBV_ILN_4313 GBV_ILN_4315 GBV_ILN_4318 GBV_ILN_4323 GBV_ILN_4325 GBV_ILN_4700 31.00 Mathematik: Allgemeines Mathematik: Allgemeines VZ AR 76 2001 2 02 133-140
spelling	10.1007/s000130050553 doi (DE-627)OLC2049221355 (DE-He213)s000130050553-p DE-627 ger DE-627 rakwb eng 510 050 VZ 17,1 ssgn 31.00 bkl Fernández, C. verfasserin aut Elliptic convolution operators on non-quasianalytic classes 2001 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Birkhäuser Verlag, Basel 2001 Abstract. For those nonquasianalytic classes in which an extension of the classical Borel's theorem holds we show that every elliptic convolution operator is the composition of a translation and an invertible ultradifferential operator. This answers a question asked by Chou in: La transformation de Fourier complexe et l'équation de convolution, LNM 325, Berlin-Heidelberg-New York (1973). Convolution Operator Galbis, A. aut Gómez, M.C. aut Enthalten in Archiv der Mathematik Birkhäuser Verlag, 1948 76(2001), 2 vom: Feb., Seite 133-140 (DE-627)129061581 (DE-600)475-3 (DE-576)014392364 0003-889X nnns volume:76 year:2001 number:2 month:02 pages:133-140 https://doi.org/10.1007/s000130050553 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_24 GBV_ILN_30 GBV_ILN_40 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_267 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2012 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4027 GBV_ILN_4036 GBV_ILN_4082 GBV_ILN_4126 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4311 GBV_ILN_4313 GBV_ILN_4315 GBV_ILN_4318 GBV_ILN_4323 GBV_ILN_4325 GBV_ILN_4700 31.00 Mathematik: Allgemeines Mathematik: Allgemeines VZ AR 76 2001 2 02 133-140
allfields_unstemmed	10.1007/s000130050553 doi (DE-627)OLC2049221355 (DE-He213)s000130050553-p DE-627 ger DE-627 rakwb eng 510 050 VZ 17,1 ssgn 31.00 bkl Fernández, C. verfasserin aut Elliptic convolution operators on non-quasianalytic classes 2001 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Birkhäuser Verlag, Basel 2001 Abstract. For those nonquasianalytic classes in which an extension of the classical Borel's theorem holds we show that every elliptic convolution operator is the composition of a translation and an invertible ultradifferential operator. This answers a question asked by Chou in: La transformation de Fourier complexe et l'équation de convolution, LNM 325, Berlin-Heidelberg-New York (1973). Convolution Operator Galbis, A. aut Gómez, M.C. aut Enthalten in Archiv der Mathematik Birkhäuser Verlag, 1948 76(2001), 2 vom: Feb., Seite 133-140 (DE-627)129061581 (DE-600)475-3 (DE-576)014392364 0003-889X nnns volume:76 year:2001 number:2 month:02 pages:133-140 https://doi.org/10.1007/s000130050553 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_24 GBV_ILN_30 GBV_ILN_40 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_267 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2012 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4027 GBV_ILN_4036 GBV_ILN_4082 GBV_ILN_4126 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4311 GBV_ILN_4313 GBV_ILN_4315 GBV_ILN_4318 GBV_ILN_4323 GBV_ILN_4325 GBV_ILN_4700 31.00 Mathematik: Allgemeines Mathematik: Allgemeines VZ AR 76 2001 2 02 133-140
allfieldsGer	10.1007/s000130050553 doi (DE-627)OLC2049221355 (DE-He213)s000130050553-p DE-627 ger DE-627 rakwb eng 510 050 VZ 17,1 ssgn 31.00 bkl Fernández, C. verfasserin aut Elliptic convolution operators on non-quasianalytic classes 2001 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Birkhäuser Verlag, Basel 2001 Abstract. For those nonquasianalytic classes in which an extension of the classical Borel's theorem holds we show that every elliptic convolution operator is the composition of a translation and an invertible ultradifferential operator. This answers a question asked by Chou in: La transformation de Fourier complexe et l'équation de convolution, LNM 325, Berlin-Heidelberg-New York (1973). Convolution Operator Galbis, A. aut Gómez, M.C. aut Enthalten in Archiv der Mathematik Birkhäuser Verlag, 1948 76(2001), 2 vom: Feb., Seite 133-140 (DE-627)129061581 (DE-600)475-3 (DE-576)014392364 0003-889X nnns volume:76 year:2001 number:2 month:02 pages:133-140 https://doi.org/10.1007/s000130050553 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_24 GBV_ILN_30 GBV_ILN_40 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_267 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2012 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4027 GBV_ILN_4036 GBV_ILN_4082 GBV_ILN_4126 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4311 GBV_ILN_4313 GBV_ILN_4315 GBV_ILN_4318 GBV_ILN_4323 GBV_ILN_4325 GBV_ILN_4700 31.00 Mathematik: Allgemeines Mathematik: Allgemeines VZ AR 76 2001 2 02 133-140
allfieldsSound	10.1007/s000130050553 doi (DE-627)OLC2049221355 (DE-He213)s000130050553-p DE-627 ger DE-627 rakwb eng 510 050 VZ 17,1 ssgn 31.00 bkl Fernández, C. verfasserin aut Elliptic convolution operators on non-quasianalytic classes 2001 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Birkhäuser Verlag, Basel 2001 Abstract. For those nonquasianalytic classes in which an extension of the classical Borel's theorem holds we show that every elliptic convolution operator is the composition of a translation and an invertible ultradifferential operator. This answers a question asked by Chou in: La transformation de Fourier complexe et l'équation de convolution, LNM 325, Berlin-Heidelberg-New York (1973). Convolution Operator Galbis, A. aut Gómez, M.C. aut Enthalten in Archiv der Mathematik Birkhäuser Verlag, 1948 76(2001), 2 vom: Feb., Seite 133-140 (DE-627)129061581 (DE-600)475-3 (DE-576)014392364 0003-889X nnns volume:76 year:2001 number:2 month:02 pages:133-140 https://doi.org/10.1007/s000130050553 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_24 GBV_ILN_30 GBV_ILN_40 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_267 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2012 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4027 GBV_ILN_4036 GBV_ILN_4082 GBV_ILN_4126 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4311 GBV_ILN_4313 GBV_ILN_4315 GBV_ILN_4318 GBV_ILN_4323 GBV_ILN_4325 GBV_ILN_4700 31.00 Mathematik: Allgemeines Mathematik: Allgemeines VZ AR 76 2001 2 02 133-140
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source	Enthalten in Archiv der Mathematik 76(2001), 2 vom: Feb., Seite 133-140 volume:76 year:2001 number:2 month:02 pages:133-140
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author	Fernández, C.
spellingShingle	Fernández, C. ddc 510 ssgn 17,1 bkl 31.00 misc Convolution Operator Elliptic convolution operators on non-quasianalytic classes
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topic_title	510 050 VZ 17,1 ssgn 31.00 bkl Elliptic convolution operators on non-quasianalytic classes Convolution Operator
topic	ddc 510 ssgn 17,1 bkl 31.00 misc Convolution Operator
topic_unstemmed	ddc 510 ssgn 17,1 bkl 31.00 misc Convolution Operator
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title	Elliptic convolution operators on non-quasianalytic classes
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title_full	Elliptic convolution operators on non-quasianalytic classes
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author_browse	Fernández, C. Galbis, A. Gómez, M.C.
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title_sort	elliptic convolution operators on non-quasianalytic classes
title_auth	Elliptic convolution operators on non-quasianalytic classes
abstract	Abstract. For those nonquasianalytic classes in which an extension of the classical Borel's theorem holds we show that every elliptic convolution operator is the composition of a translation and an invertible ultradifferential operator. This answers a question asked by Chou in: La transformation de Fourier complexe et l'équation de convolution, LNM 325, Berlin-Heidelberg-New York (1973). © Birkhäuser Verlag, Basel 2001
abstractGer	Abstract. For those nonquasianalytic classes in which an extension of the classical Borel's theorem holds we show that every elliptic convolution operator is the composition of a translation and an invertible ultradifferential operator. This answers a question asked by Chou in: La transformation de Fourier complexe et l'équation de convolution, LNM 325, Berlin-Heidelberg-New York (1973). © Birkhäuser Verlag, Basel 2001
abstract_unstemmed	Abstract. For those nonquasianalytic classes in which an extension of the classical Borel's theorem holds we show that every elliptic convolution operator is the composition of a translation and an invertible ultradifferential operator. This answers a question asked by Chou in: La transformation de Fourier complexe et l'équation de convolution, LNM 325, Berlin-Heidelberg-New York (1973). © Birkhäuser Verlag, Basel 2001
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title_short	Elliptic convolution operators on non-quasianalytic classes
url	https://doi.org/10.1007/s000130050553
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author2	Galbis, A. Gómez, M.C.
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up_date	2024-07-03T21:57:38.347Z
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