Bases of complex exponentials with restricted supports

DOI10.1016/j.jmaa.2022.126917OpenAlexW4311761758MaRDI QIDQ2684735

Dae Gwan Lee, Götz E. Pfander, David F. Walnut

Publication date: 17 February 2023

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.05707

zbMATH Keywords

spectrumcomplex exponentialsRiesz basessupport restriction

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Dirichlet series, exponential series and other series in one complex variable (30B50) Representations of entire functions of one complex variable by series and integrals (30D10)

Related Items (1)

Exponential bases for partitions of intervals

Cites Work

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• The sampling theorem for functions with limited multi-band spectrum. I
• A variant of compressed sensing
• Chebotarëv and his density theorem
• Improved bounds in Weaver and Feichtinger conjectures
• A note on exponential Riesz bases
• Combining Riesz bases
• Necessary density conditions for sampling an interpolation of certain entire functions
• Generalized sampling expansion
• A simple construction of exponential bases in L² of the union of several intervals
• An introduction to frames and Riesz bases

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