11 citations · 17 across the 8 of their papers we have counts for
13 papers
Holomorphic extensions of representations: (II) geometry and harmonic analysis
Bernhard Kroetz, Robert J. Stanton
We continue our discussion from part I.
Horospherical model for holomorphic discrete series and horospherical Cauchy transform
Simon Gindikin, Bernhard Kroetz, Gestur Olafsson
We define a complex horospherical transform for affine symmetric spaces of Hermitian type and show that it has no kernel on the holomorphic discrete series.
The image of the heat kernel transform on Riemannian symmetric spaces of the noncompact type
Bernhard Kroetz, Gestur Olafsson, Robert Stanton
The heat kernel or Bargmann-Segal transform on a noncompact Riemannian symmetric space X=G/K maps a square integrable function on X to a holomorphic function on the complex crown.…
A refinement of the complex convexity theorem via symplectic techniques
Bernhard Kroetz, Michael Otto
We apply techniques from symplectic geometry to extend and give a new proof of the complex convexity theorem of Gindikin-Kroetz.
The heat kernel transform for the Heisenberg group
Bernhard Kroetz, Sundaram Thangavelu, Yuan Xu
The heat kernel transform H_t for the Heisenberg group is studied in detail. The main result shows that the image of H_t is a direct sum of two weighted Bergman spaces whose associ…
Lagrangian submanifolds and moment convexity
Bernhard Kroetz, Michael Otto
We consider a Hamiltonian torus action on a compact connected symplectic manifold M. For a certain class of Lagrangian submanifolds Q of M we show that the image of Q under the mom…