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Sibirskii Matematicheskii Zhurnal, 2005, Volume 46, Number 6, Pages 1374–1387 (Mi smj1046)  
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
Full-text PDF (234 kB) Citations (35)
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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
English version:
Siberian Mathematical Journal, 2005, Volume 46, Issue 6, Pages 1108–1118
DOI: https://doi.org/10.1007/s11202-005-0105-z
Bibliographic databases:
UDC: 517.518
Language: Russian
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
Citation in format AMSBIB
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\transl
\jour Siberian Math. J.
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\pages 1108--1118
\crossref{https://doi.org/10.1007/s11202-005-0105-z}
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    • This publication is cited in the following 35 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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