Spectral analysis in spaces of vector valued functions

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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.

Original languageEnglish
Pages (from-to)243-248
Number of pages6
JournalPacific Journal of Mathematics
Issue number1
StatePublished - Nov 1980

ASJC Scopus subject areas

  • General Mathematics


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