B. Kroetz

activity

20002009

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

11 citations · 17 across the 13 of their papers we have counts for

collaborators

Showing 2006Show all

2 papers · 1 filter

math.FA2006

Heat kernel transform for nilmanifolds associated to the Heisenberg group

B. Kroetz, S. Thangavelu, Y. Xu

We study the heat kernel transform on a nilmanifold $M$ of the Heisenberg group. We show that the image of $L^{2} (M)$ under this transform is a direct sum of weighted Bergman spa…

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.