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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.CV2004
Smoothly Parameterised Cech Cohomology of Complex Manifolds
Toby Bailey, Michael Eastwood, Simon Gindikin
A Stein covering of a complex manifold may be used to realise its analytic cohomology in accordance with the Cech theory. If, however, the Stein covering is parameterised by a smoo…