Vol. 91, No. 1, 1980

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Spectral analysis in spaces of vector valued functions

Yitzhak Weit

Vol. 91 (1980), No. 1, 243–248
Abstract

Spectral analysis properties of L1H(R), where H is a separable Hilbert space, are investigated. It is proved that spectral analysis holds for L1H(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.

Mathematical Subject Classification 2000
Primary: 43A20
Secondary: 46E40
Milestones
Received: 11 July 1979
Published: 1 November 1980
Authors
Yitzhak Weit