Tempered distributions with translation bounded measure as Fourier transform and the generalized Eberlein decomposition

DOI10.1002/mana.202100658arXiv2105.03382OpenAlexW3161239138MaRDI QIDQ6196786

Timo Spindeler, Nicolae Strungaru

Publication date: 15 March 2024

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.03382

zbMATH Keywords

Lebesgue decompositionFourier transform of measuresalmost periodic measures

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Pair correlations of aperiodic inflation rules via renormalisation: some interesting examples
• Diffraction theory and almost periodic distributions
• Tempered Radon measures
• Diffraction of compatible random substitutions in one dimension
• Almost periodic measures and long-range order in Meyer sets
• On diffraction by aperiodic structures
• Meyer's concept of quasicrystal and quasiregular sets
• On norm almost periodic measures
• On the Fourier analysis of measures with Meyer set support
• On weighted Dirac combs supported inside model sets
• Squirals and beyond: substitution tilings with singular continuous spectrum
• A short guide to pure point diffraction in cut-and-project sets
• On the Fourier Transformability of Strongly Almost Periodic Measures
• Fourier analysis of unbounded measures on locally compact abelian groups
• On weakly almost periodic measures
• Weighted Dirac combs with pure point diffraction
• A note on measures vanishing at infinity
• Almost Periodic Measures and their Fourier Transforms
• Aperiodic Order
• Almost periodic measures
• Abstract Ergodic Theorems and Weak Almost Periodic Functions
• Measures with locally finite support and spectrum
• A note on tempered measures

This page was built for publication: Tempered distributions with translation bounded measure as Fourier transform and the generalized Eberlein decomposition