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math.CV2004★ 1 cited
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…
math.CV2004★ 2 cited
The Maximum Principle for the Bergman Space and the Möbius Pseudodistance for the Annulus
Alexander Schuster
It is shown that the formula for the Möbius pseudodistance for the annulus yields better estimates than previously known for the constant in the Bergman space maximum principle. A…
math.CV2003★ 2 cited
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…