2 citations · 5 across the 7 of their papers we have counts for
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Interpolation and Sampling Hypersurfaces for weighted Bergman spaces on the unit ball
Tamas Forgacs, Dror Varolin
We present sufficient conditions on a smooth uniformly flat hypersurface W in the unit ball to be an interpolation hypersurface or a sampling hypersurface for generalized Bergman s…
Geometry of Hermitian Algebraic Functions. Quotients of Squared Norms
Dror Varolin
Hermitian algebraic functions were introduced by Catlin and D'Angelo under the name of "globalizable metrics". Catlin and D'Angelo proved that any Hermitian algebraic function with…
Holomorphic DIffeomorphisms of Semisimple Homogeneous Spaces
Arpad Toth, Dror Varolin
The density property for a Stein manifold X implies that the group of holomorphic diffeomorphisms of X is infinite-dimensional and, in a certain well-defined sense, as large as pos…
Interpolation and Sampling Hypersurfaces for the Bargmann-Fock space in higher dimensions
Joaquim Ortega-Cerda, Alexander Schuster, Dror Varolin
We study those smooth complex hypersurfaces W in C^n having the property that all holomorphic functions of finite weighted L^p norm on W extend to entire functions with finite weig…
Interpolation and Sampling on Riemann Surfaces
Alexander P. Schuster, Dror Varolin
We find sufficient conditions for a discrete sequence to be interpolating or sampling for certain generalized Bergman spaces on open Riemann surfaces. As in previous work of Bendts…
Positivity conditions for Hermitian symmetric functions
John P. D'Angelo, Dror Varolin
We introduce a countable collection of positivity classes for Hermitian symmetric functions on a complex manifold, and establish their basic properties. We study a related notion o…