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


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Abstract

In this paper, for functions on the group Qp, 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 L2.

About the authors

Sergey S. Platonov

Institute of Mathematics

Author for correspondence.
Email: ssplatonov@yandex.ru
Russian Federation, Lenina av. 33, Petrozavodsk, 185910

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