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3. Multiple Sampling and Interpolation in Weighted Fock Spaces of Entire Functions

Author

Luis Alberto Escudero, José Luis Romero, and Antti Haimi

Subjects
Pure mathematics, Entire function, 02 engineering and technology, 01 natural sciences, Article, Fock space, 0202 electrical engineering, electronic engineering, information engineering, FOS: Mathematics, 0101 mathematics, Sampling, Mathematics, Mathematics::Functional Analysis, 30D10, 30D15, Applied Mathematics, 010102 general mathematics, Sampling (statistics), 020206 networking & telecommunications, Derivative, Operator theory, Functional Analysis (math.FA), Interpolation, Mathematics - Functional Analysis, Computational Mathematics, Computational Theory and Mathematics, Multiple sampling, Bargmann–Fock space, Complex plane
Abstract

We characterize sampling and interpolating sets with derivatives in weighted Fock spaces on the complex plane in terms of their weighted Beurling densities., Comment: 27 pages. Some minor typographical errors were corrected

Published
2020

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