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math.RT2005
Holomorphic extensions of representations: (II) geometry and harmonic analysis
Bernhard Kroetz, Robert J. Stanton
We continue our discussion from part I.
math.RT2004
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.
math.RT2003
A convexity property for real orbits in complexified Riemannian symmetric spaces
Bernhard Kroetz
A convexity theorem for certain G-orbits in a complexified Riemannian symmetric space G_C/K_C is proved. Applications to analytically continued spherical functions will be given.