Radon, cosine and sine transforms on real hyperbolic space

Boris Rubin

doi:10.1006/aima.2002.2074

Radon, cosine and sine transforms on real hyperbolic space

Boris Rubin^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

24 Scopus citations

Abstract

New pointwise inversion formulae are obtained for the d-dimensional totally geodesic Radon transform on the n-dimensional real hyperbolic space, 1 ≤ d ≤ n - 1, in terms of polynomials of the Laplace-Beltrami operator and intertwining fractional integrals. Similar results are established for hyperbolic cosine and sine transforms.

Original language	English
Pages (from-to)	206-223
Number of pages	18
Journal	Advances in Mathematics
Volume	170
Issue number	2
DOIs	https://doi.org/10.1006/aima.2002.2074
State	Published - 25 Sep 2002

Keywords

Hyperbolic cosine and sine transforms
Hyperbolic space
Inversion formulas
Radon transform

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10.1006/aima.2002.2074

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abstract = "New pointwise inversion formulae are obtained for the d-dimensional totally geodesic Radon transform on the n-dimensional real hyperbolic space, 1 ≤ d ≤ n - 1, in terms of polynomials of the Laplace-Beltrami operator and intertwining fractional integrals. Similar results are established for hyperbolic cosine and sine transforms.",

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AB - New pointwise inversion formulae are obtained for the d-dimensional totally geodesic Radon transform on the n-dimensional real hyperbolic space, 1 ≤ d ≤ n - 1, in terms of polynomials of the Laplace-Beltrami operator and intertwining fractional integrals. Similar results are established for hyperbolic cosine and sine transforms.

KW - Hyperbolic cosine and sine transforms

KW - Hyperbolic space

KW - Inversion formulas

KW - Radon transform

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Radon, cosine and sine transforms on real hyperbolic space

Abstract

Keywords

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