On norm almost periodic measures

DOI10.1007/s00209-020-02671-wzbMath1483.43002arXiv1810.09490OpenAlexW2954972517MaRDI QIDQ2231133

Timo Spindeler, Nicolae Strungaru

Publication date: 29 September 2021

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

Full work available at URL: https://arxiv.org/abs/1810.09490

zbMATH Keywords

Lebesgue decompositionalmost periodic measures

Mathematics Subject Classification ID

Measures on groups and semigroups, etc. (43A05) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60)

Related Items

Fourier transformable measures with weak Meyer set support and their lift to the cut-and-project scheme, Tempered distributions with translation bounded measure as Fourier transform and the generalized Eberlein decomposition

Cites Work

• Diffraction theory and almost periodic distributions
• Pure point spectrum for measure dynamical systems on locally compact Abelian groups
• Diffraction of compatible random substitutions in one dimension
• Pure point diffraction and Poisson summation
• Almost periodic measures and long-range order in Meyer sets
• Pure point dynamical and diffraction spectra
• On diffraction by aperiodic structures
• On the Fourier analysis of measures with Meyer set support
• Mathematics of aperiodic order
• Pure point diffraction and cut and project schemes for measures: the smooth case
• Quasicrystals and almost periodicity
• On the (dis)continuity of the Fourier transform of measures
• On weighted Dirac combs supported inside model sets
• Classical Fourier Analysis
• Dynamics of self-similar tilings
• On weakly almost periodic measures
• Dynamical systems on translation bounded measures: pure point dynamical and diffraction spectra
• Weighted Dirac combs with pure point diffraction
• Dense Dirac combs in Euclidean space with pure point diffraction
• Almost Periodic Measures and their Fourier Transforms
• Almost Periodic Pure Point Measures
• Aperiodic Order
• Almost periodic measures
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item