19 citations · 33 across the 16 of their papers we have counts for
16 papers
Ernest Borisovich Vinberg
D. V. Alekseevsky, M. V. Belolipetsky, S. G. Gindikin +6
The article is a report on the biography and achievements of Ernest Borisovich Vinberg, an outstanding Russian mathematician, who passed away in Moscow on May 12, 2020. We discuss…
Radon transforms on homogeneous trees
Enrico Casadio Tarabusi, Simon G. Gindikin, Massimo A. Picardello
We study the different horospherical Radon transforms that arise by regarding a homogeneous tree T as a simplicial complex whose simplices are vertices V, edges E or flags F (flags…
Horospherical Cauchy Transform on Some Pseudo-Hyperbolic Spaces
Simon Gindikin
We consider the horospherical transform and its inversion in 3 examples of hyperboloids. We want to illustrate via these examples the fact that the horospherical inversion formulas…
Cohomological Laplace transform on non-convex cones and Hardy spaces of -cohomology on non-convex tube domains
Simon Gindikin, Hideyuki Ishi
We consider a class of non-convex cones in which can be presented as (not unique) union of convex cones of some codimension which we call the index of non-co…
Holomorphic horospherical transform on non-compactly causal spaces
Simon Gindikin, Bernhard Kroetz, Gestur Olafsson
We develop integral geometry for non-compactly causal symmetric spaces. We define a complex horospherical transform and, for some cases, identify it with a Cauchy type integral.
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.…