4 citations · 6 across the 6 of their papers we have counts for
9 papers
Complex horospherical transform on real sphere
Simon Gindikin
We define a new integral transform on the real sphere which is invariant relative to the orthogonal group and similar to the horospherical Radon transform for the hyperbolic space.…
Horospherical Cauchy-Radon transform on compact symmetric spaces
Simon Gindikin
Harmonic analysis on noncompact Riemannian symmetric spaces is in a sense equivalent to the theory of the horospherical transform. There are no horospheres on compact symmetric spa…
Holomorphic horospherical duality "sphere-cone"
Simon Gindikin
We describe a construction of complex geometrical analysis which corresponds to the classical theory of spherical harmonics.
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.
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…
A remark on Schubert cells and duality of orbits on flag manifolds
Simon Gindikin, Toshihiko Matsuki
It is known that the closure of an arbitrary K_c-orbit on a flag manifold is expressed as a product of a closed K_c-orbit and a Schubert cell ([M2], [Sp]). We already applied this…