Complex horospherical transform on real sphere

Details Complex horospherical transform on real sphere Complex horospherical transform on real sphere

2005-01-02

arxiv.org/abs/math/0501023v1

Mathematics

Representation Theory

6 pages

Scientific paper

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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