On weakly almost periodic measures

DOI10.1090/tran/7422zbMath1444.43002arXiv1609.08219OpenAlexW3099495511MaRDI QIDQ4633764

Nicolae Strungaru, Daniel H. Lenz

Publication date: 6 May 2019

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

Full work available at URL: https://arxiv.org/abs/1609.08219

Mathematics Subject Classification ID

Measures on groups and semigroups, etc. (43A05) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Harmonic analysis and almost periodicity in probabilistic number theory (11K70) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60)

Related Items

Eberlein decomposition for PV inflation systems, On the (dis)continuity of the Fourier transform of measures, Pure point diffraction and Poisson summation, On eigenmeasures under Fourier transform, The rotation number for almost periodic potentials with jump discontinuities and \(\delta \)-interactions, Pure point spectrum for dynamical systems and mean, Besicovitch and Weyl almost periodicity, Tempered distributions with translation bounded measure as Fourier transform and the generalized Eberlein decomposition, Modulated crystals and almost periodic measures, On the Fourier Transformability of Strongly Almost Periodic Measures, On norm almost periodic measures, On the Fourier analysis of measures with Meyer set support, Spectral and arithmetic structures in aperiodic order, The rotation number for almost periodic Schrödinger operators with \(\delta \)-potentials, On arithmetic progressions in model sets

Cites Work

• 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
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Pair correlations of aperiodic inflation rules via renormalisation: some interesting examples
• The inverse problem of pure point diffraction -- examples and open questions
• Quasicrystals, almost periodic patterns, mean-periodic functions and irregular sampling
• Ergodic properties of visible lattice points
• Spectral notions of aperiodic order
• Diffraction theory and almost periodic distributions
• On weak model sets of extremal density
• Isomorphic extensions and applications
• Pure point spectrum for measure dynamical systems on locally compact Abelian groups
• The point spectrum of weakly almost periodic functions
• Geometric models for quasicrystals. I. Delone sets of finite type
• Geometric models for quasicrystals. II. Local rules under isometries
• Almost periodic measures and long-range order in Meyer sets
• Pure point dynamical and diffraction spectra
• On diffraction by aperiodic structures
• Mathematics of aperiodic order
• Pure point diffraction and cut and project schemes for measures: the smooth case
• Extinctions and correlations for uniformly discrete point processes with pure point dynamical spectra
• Dworkin's argument revisited: Point processes, dynamics, diffraction, and correlations
• Quasicrystals and almost periodicity
• On weighted Dirac combs supported inside model sets
• A short guide to pure point diffraction in cut-and-project sets
• Spectral theory and x-ray diffraction
• Characterization of model sets by dynamical systems
• Weakly Almost Periodic Flows
• Fourier analysis of unbounded measures on locally compact abelian groups
• Point Sets and Dynamical Systems In the Autocorrelation Topology
• Repetitive Delone sets and quasicrystals
• Stationary processes and pure point diffraction
• Dynamical systems on translation bounded measures: pure point dynamical and diffraction spectra
• Local Complexity of Delone Sets and Crystallinity
• Weighted Dirac combs with pure point diffraction
• Dense Dirac combs in Euclidean space with pure point diffraction
• Equicontinuous Delone Dynamical Systems
• Almost periodic measures and Bragg diffraction
• Almost Periodic Measures and their Fourier Transforms
• Almost Periodic Pure Point Measures
• Dynamics of $\boldsymbol{{\mathcal B}}$-Free Sets: A View Through the Window
• Equicontinuous Factors, Proximality and Ellis Semigroup for Delone Sets
• Bohr and Besicovitch almost periodic discrete sets and quasicrystals
• Almost periodic measures
• Abstract Ergodic Theorems and Weak Almost Periodic Functions
• A Note on Fourier-Stieltjes Transforms