Spectral analysis in spaces of vector valued functions

Yitzhak Weit

Vol. 91 (1980), No. 1, 243–248

DOI: 10.2140/pjm.1980.91.243

Abstract

Spectral analysis properties of L₁^H(R), where H is a separable Hilbert space, are investigated. It is proved that spectral analysis holds for L₁^H(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