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The Fourier transform of functions satisfying the Lipschitz condition on rank 1 symmetric spaces

S. S. Platonov

Petrozavodsk State University

Abstract: We prove an analog of the classical Titchmarsh theorem on the image under the Fourier transform of a set of functions satisfying the Lipschitz condition in $L^2$. for functions on noncompact rank 1 Riemannian symmetric spaces.

Keywords: symmetric space, Fourier transform, Lipschitz condition.

UDC: 517.518

Received: 26.05.2004
Revised: 24.05.2005

 English version: Siberian Mathematical Journal, 2005, 46:6, 1108–1118

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