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A Convexity property for the SO(2,C)-double coset decomposition of SL(2,C) and applications to spherical functions

Bernhard Kroetz·Michael Otto
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Abstract

We make a fine study of the SO(2,C)-double coset decomposition in SL(2,C) and give a full description of the intersection of the various cells with the complex crown Xi of SL(2,R)/SO(2). A non-linear convexity theorem is proved and applications to analytically continued spherical functions are given.

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BibTeXRIS

Bernhard Kroetz, Michael Otto. 2003-04-14. A Convexity property for the SO(2,C)-double coset decomposition of SL(2,C) and applications to spherical functions. https://arxiv.org/abs/math/0208215

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