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arXiv math/0501022math.RT

Horospherical Cauchy-Radon transform on compact symmetric spaces

Simon Gindikin

英文摘要:

Harmonic analysis on noncompact Riemannian symmetric spaces is in a sense equivalent to the theory of the horospherical transform. There are no horospheres on compact symmetric spaces, but we define a complex version of horospherical transform which plays a similar role for the harmonic analysis on them.

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