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An analogue of the Titchmarsh theorem for the Fourier transform on the group of p-adic numbers

Authors :
Sergey S. Platonov
Source :
p-Adic Numbers, Ultrametric Analysis and Applications. 9:158-164
Publication Year :
2017
Publisher :
Pleiades Publishing Ltd, 2017.

Abstract

In this paper, for functions on the group Q p , we prove an analogue of the classical Titchmarsh theorem on description of the image under the Fourier transform of a set of functions satisfying the Lipschitz condition in L 2.

Details

ISSN :
20700474 and 20700466
Volume :
9
Database :
OpenAIRE
Journal :
p-Adic Numbers, Ultrametric Analysis and Applications
Accession number :
edsair.doi...........be157582421b36eaf55098d859d7e0e2