arXiv math/06017282006-01math.RT

Holomorphic horospherical transform on non-compactly causal spaces

Simon Gindikin, Bernhard Kroetz, Gestur Olafsson

备注：: Revised, final version; to appear in IMRN, 38 p
发表信息：: IMRN 2006, Article ID 76857, 47p.

英文摘要：

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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