Shift-Invariant Spaces of Entire Functions

DOI10.1007/978-3-030-74417-5_13zbMath1503.30071OpenAlexW3217468853MaRDI QIDQ5052093

Karlheinz Gröchening

Publication date: 21 November 2022

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-74417-5_13

zbMATH Keywords

interpolationentire functionsshift invariant spaces

Mathematics Subject Classification ID

Entire functions of one complex variable (general theory) (30D20) Moment problems and interpolation problems in the complex plane (30E05) Spaces and algebras of analytic functions of one complex variable (30H99)

Cites Work

• Geometric conditions for multiple sampling and interpolation in the Fock space
• Reconstruction of bandlimited functions from unsigned samples
• Phase-retrieval in shift-invariant spaces with Gaussian generator
• Sampling theorems for shift-invariant spaces, Gabor frames, and totally positive functions
• Phaseless sampling and reconstruction of real-valued signals in shift-invariant spaces
• Sharp results on sampling with derivatives in shift-invariant spaces and multi-window Gabor frames
• A Class of Nonharmonic Fourier Series

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