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19992009
most citedThe image of the heat kernel transform on Riemannian symmetric spaces of the noncompact type

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math.RT2006

Holomorphic horospherical transform on non-compactly causal spaces

Simon Gindikin, Bernhard Kroetz, Gestur Olafsson

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.