Riesz bases of exponentials and the Bohr topology

DOI10.1090/proc/15395zbMath1470.43010arXiv2001.11563OpenAlexW3099926204MaRDI QIDQ5856967

Kathryn E. Hare, Ursula M. Molter, Carlos A. Cabrelli

Publication date: 30 March 2021

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.11563

zbMATH Keywords

Riesz basisBohr topologyBohr compactificationbasis of exponentialsmulti-tiles

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Trigonometric interpolation (42A15) General harmonic expansions, frames (42C15) Combinatorial aspects of tessellation and tiling problems (05B45) Analysis on specific locally compact and other abelian groups (43A70)

Related Items (4)

A note on exponential Riesz bases ⋮ Riesz bases of exponentials for multi-tiling measures ⋮ A set with no Riesz basis of exponentials ⋮ Exponential bases for partitions of intervals

Cites Work

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• Zeros of the Zak transform on locally compact abelian groups
• Riesz bases of exponentials on unbounded multi-tiles
• Riesz bases, Meyer’s quasicrystals, and bounded remainder sets
• Multiple lattice tiles and Riesz bases of exponentials
• Principles of harmonic analysis

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