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1992 A Riesz basis for Bargmann-Fock space related to sampling and interpolation
K. Gröchenig, D. Walnut
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Ark. Mat. 30(1-2): 283-295 (1992). DOI: 10.1007/BF02384875

Abstract

It is shown that the Bargmann-Fock spaces of entire functions, Ap (C), p≧1 have a bounded unconditional basis of Wilson type [DJJ] which is closely related to the reproducing kernel. From this is derived a new sampling and interpolation result for these spaces.

Funding Statement

Partially supported by grant AFOSR 90-0311.

Citation

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K. Gröchenig. D. Walnut. "A Riesz basis for Bargmann-Fock space related to sampling and interpolation." Ark. Mat. 30 (1-2) 283 - 295, 1992. https://doi.org/10.1007/BF02384875

Information

Received: 12 April 1991; Published: 1992
First available in Project Euclid: 31 January 2017

zbMATH: 0777.46029
MathSciNet: MR1289756
Digital Object Identifier: 10.1007/BF02384875

Rights: 1992 © Institut Mittag-Leffler

Vol.30 • No. 1-2 • 1992
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