Spectral analysis in spaces of vector valued functions

Yitzhak Weit

doi:10.2140/pjm.1980.91.243

Spectral analysis in spaces of vector valued functions

Yitzhak Weit

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Spectral analysis properties of L^H₁(R), where if is a separable Hubert space, are investigated. It is proved that spectral analysis holds for L^H₁(R) if and only if H is finite–dimensional. The one–sided analogue of Wiener’s theorem for some subgroups of the Euclidean motion group, is obtained.

Original language	English
Pages (from-to)	243-248
Number of pages	6
Journal	Pacific Journal of Mathematics
Volume	91
Issue number	1
DOIs	https://doi.org/10.2140/pjm.1980.91.243
State	Published - Nov 1980

ASJC Scopus subject areas

General Mathematics

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10.2140/pjm.1980.91.243

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title = "Spectral analysis in spaces of vector valued functions",

abstract = "Spectral analysis properties of LH1(R), where if is a separable Hubert space, are investigated. It is proved that spectral analysis holds for LH1(R) if and only if H is finite–dimensional. The one–sided analogue of Wiener{\textquoteright}s theorem for some subgroups of the Euclidean motion group, is obtained.",

author = "Yitzhak Weit",

year = "1980",

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AB - Spectral analysis properties of LH1(R), where if is a separable Hubert space, are investigated. It is proved that spectral analysis holds for LH1(R) if and only if H is finite–dimensional. The one–sided analogue of Wiener’s theorem for some subgroups of the Euclidean motion group, is obtained.

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Spectral analysis in spaces of vector valued functions

Abstract

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