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Sibirskii Matematicheskii Zhurnal, 2005, Volume 46, Number 6, Pages 1374–1387
(Mi smj1046)
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This article is cited in 35 scientific papers (total in 35 papers)
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.
Received: 26.05.2004 Revised: 24.05.2005
Citation:
S. S. Platonov, “The Fourier transform of functions satisfying the Lipschitz condition on rank 1 symmetric spaces”, Sibirsk. Mat. Zh., 46:6 (2005), 1374–1387; Siberian Math. J., 46:6 (2005), 1108–1118
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https://www.mathnet.ru/eng/smj1046 https://www.mathnet.ru/eng/smj/v46/i6/p1374
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Abstract page: | 464 | Full-text PDF : | 231 | References: | 56 |
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