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A theorem on the support of functions in L2(R) and of their Fourier transforms

โœ Scribed by A. M. Berthier; J. M. Jauch

Publisher
Springer
Year
1976
Tongue
English
Weight
156 KB
Volume
1
Category
Article
ISSN
0377-9017

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โœฆ Synopsis

This paper is a study of the dimension of certain subspaces,Ct'of L2(IR) defined by prescribing the support of the functions i n ~a n d of their Fourier transforms.

๐Ÿ“œ SIMILAR VOLUMES

Rearrangements of Functions on a Locally
Rearrangements of Functions on a Locally Compact Abelian Group and Integrability of the Fourier Transform
โœ A. Gulisashvili ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 524 KB

We find in this paper the equimeasurable hulls and kernels of some function classes on a locally compact abelian group. These classes consist of all functions for which the Fourier transform belongs to a given Lorentz space on the dual group. Different special cases of the problems considered in thi