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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.CV2005
Holomorphic horospherical duality "sphere-cone"
Simon Gindikin
We describe a construction of complex geometrical analysis which corresponds to the classical theory of spherical harmonics.