A note on tempered measures

DOI10.4064/cm8796-7-2022zbMath1525.46023arXiv2202.09175OpenAlexW4312846781MaRDI QIDQ6104319

Michael Baake, Nicolae Strungaru

Publication date: 28 June 2023

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.09175

zbMATH Keywords

tempered distributionsRadon measurestransformability

Mathematics Subject Classification ID

Measures on groups and semigroups, etc. (43A05) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Spaces of measures (46E27) Quasicrystals and aperiodic tilings in discrete geometry (52C23)

Related Items (2)

On eigenmeasures under Fourier transform ⋮ Tempered distributions with translation bounded measure as Fourier transform and the generalized Eberlein decomposition

Cites Work

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• Diffraction theory and almost periodic distributions
• Tempered Radon measures
• Pure point diffraction and Poisson summation
• On the Fourier analysis of measures with Meyer set support
• Quasicrystals and Poisson's summation formula
• On the Fourier Transformability of Strongly Almost Periodic Measures
• Fourier analysis of unbounded measures on locally compact abelian groups
• Pure point measures with sparse support and sparse Fourier–Bohr support
• Almost Periodic Measures and their Fourier Transforms
• Almost Periodic Pure Point Measures
• Measures with locally finite support and spectrum

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