most citedHorospherical Cauchy-Radon transform on compact symmetric spaces

4 citations · 4 across the 4 of their papers we have counts for

collaborators
Showing math.RTShow all

3 papers · 1 filter

math.RT2005

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.…

math.RT2005★ 4 cited

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…

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.