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Density theorems for sampling and interpolation in the Bargmann-Fock space
Author(s):
Kristian
Seip
Journal:
Bull. Amer. Math. Soc.
26
(1992),
322-328.
MSC (2000):
Primary 30D15;
Secondary 46E22
MathSciNet review:
1136138
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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.
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Additional Information:
DOI:
10.1090/S0273-0979-1992-00290-2
PII:
S 0273-0979(1992)00290-2
Copyright of article:
Copyright
1992,
American Mathematical Society
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