Radon, Cosine and Sine Transforms on Real Hyperbolic Space |
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| Authors: | Boris Rubin |
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| Affiliation: | Institute of Mathematics, Hebrew University, Jerusalem, 91904, Israelf1 |
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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 dn−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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| Keywords: | Radon transform hyperbolic space inversion formulas hyperbolic cosine and sine transforms. |
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