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Moscow Mathematical Journal, 2013, Volume 13, Number 2, Pages 267–280
DOI: https://doi.org/10.17323/1609-4514-2013-13-2-267-280 (Mi mmj497) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Local inversion formulas for horospherical transforms

Simon Gindikin

Departm. of Math., Hill Center, Rutgers University, 110 Frelinghysen Road, Piscataway, NJ 08854-8019
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DOI: https://doi.org/10.17323/1609-4514-2013-13-2-267-280
Abstract: We show how to obtain inversion formulas for curved problems of integral geometry using the decomposition on plane waves. It applies to the inversion of horospherical transforms on symmetric spaces when the inversion formula is local.
Key words and phrases: Radon transform, Radon–John transform, symmetric space, horospheres, horospherical transform.
Received: July 15, 2011; in revised form May 8, 2012
Bibliographic databases:
Document Type: Article
MSC: 22E46, 44A12
Language: English
Citation: Simon Gindikin, “Local inversion formulas for horospherical transforms”, Mosc. Math. J., 13:2 (2013), 267–280
Citation in format AMSBIB
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\paper Local inversion formulas for horospherical transforms
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\issue 2
\pages 267--280
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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