Holomorphic horospherical transform on non-compactly causal spaces

Details Holomorphic horospherical transform on non-compactly causal spaces Holomorphic horospherical transform on non-compactly causal spaces

2006-01-30

arxiv.org/abs/math/0601728v2

IMRN 2006, Article ID 76857, 47p.

Mathematics

Representation Theory

Revised, final version; to appear in IMRN, 38 p

Scientific paper

We develop integral geometry for non-compactly causal symmetric spaces. We
define a complex horospherical transform and, for some cases, identify it with
a Cauchy type integral.

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