This article is cited 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

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.

MSC: 22E46, 44A12

Received: July 15, 2011; in revised form May 8, 2012

Language: English

DOI: 10.17323/1609-4514-2013-13-2-267-280

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