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Moscow Mathematical Journal, 2006, Volume 6, Number 2, Pages 299–305
DOI: https://doi.org/10.17323/1609-4514-2006-6-2-299-305 (Mi mmj247) 		 
This article is cited in 10 scientific papers (total in 10 papers)

The horospherical Cauchy–Radon transform on compact symmetric spaces

S. G. Gindikin

Rutgers, The State University of New Jersey, Department of Mathematics
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DOI: https://doi.org/10.17323/1609-4514-2006-6-2-299-305
Abstract: Harmonic analysis on noncompact Riemannian symmetric spaces is in a sense equivalent to the theory of the horospherical transform. There are no horospheres on compact symmetric spaces, but we define a complex version of the horospherical transform, which plays a similar role for harmonic analysis on them.
Key words and phrases: Symmetric space, horospherical transform, spherical Fourier transform, Cauchy–Radon transform, inversion formula, Plancherel formula.
Received: September 6, 2005
Bibliographic databases:
MSC: 14M17, 22E46, 44A15
Language: English
Citation: S. G. Gindikin, “The horospherical Cauchy–Radon transform on compact symmetric spaces”, Mosc. Math. J., 6:2 (2006), 299–305
Citation in format AMSBIB
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\by S.~G.~Gindikin
\paper The horospherical Cauchy--Radon transform on compact symmetric spaces
\jour Mosc. Math.~J.
\yr 2006
\vol 6
\issue 2
\pages 299--305
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2270615}
\zmath{https://zbmath.org/?q=an:1116.43001}
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    • This publication is cited in the following 10 articles:
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