Density theorems for sampling and interpolation in the Bargmann-Fock space
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- by Kristian Seip PDF
- Bull. Amer. Math. Soc. 26 (1992), 322-328 Request permission
Abstract:
We give a complete description of sampling and interpolation in the Bargmann-Fock space, based on a density concept of Beurling. Roughly speaking, a discrete set is a set of sampling if and only if its density in every part of the plane is strictly larger than that of the von Neumann lattice, and similarly, a discrete set is a set of interpolation if and only if its density in every part of the plane is strictly smaller than that of the von Neumann lattice.References
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Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Bull. Amer. Math. Soc. 26 (1992), 322-328
- MSC (2000): Primary 30D15; Secondary 46E22
- DOI: https://doi.org/10.1090/S0273-0979-1992-00290-2
- MathSciNet review: 1136138