Radon, cosine and sine transforms on real hyperbolic space (Q1851238)
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scientific article; zbMATH DE number 1845950
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Radon, cosine and sine transforms on real hyperbolic space |
scientific article; zbMATH DE number 1845950 |
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Radon, cosine and sine transforms on real hyperbolic space (English)
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16 December 2002
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The author obtains some new inversion formulae for the \(d\)-dimensional totally geodesic Radon transform on the \(n\)-dimensional real hyperbolic space, \(1\leq d\leq n-1\), in terms of polynomials of the Laplace-Beltrami operator and intertwining fractional integrals. Similar results are also established for hyperbolic cosine and sine transforms. See the remarks by \textit{B. Rubin} in Adv. Math. 192, No. 1, 225 (2005).
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inversion formulae
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Radon transform
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Laplace-Beltrami operator
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intertwining fractional integrals
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hyperbolic cosine and sine transforms
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