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Complex horospherical transform on real sphere

Simon Gindikin
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Abstract

We define a new integral transform on the real sphere which is invariant relative to the orthogonal group and similar to the horospherical Radon transform for the hyperbolic space. This transform involves complex geometry associated with the sphere.

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BibTeXRIS

Simon Gindikin. 2005-01-02. Complex horospherical transform on real sphere. https://arxiv.org/abs/math/0501023

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