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math.FANov 5, 2021
authors
  • Timo Spindeler
  • Nicolae Strungaru
arXiv abstractPDF
paper

Semi-measures and their Fourier transform

arXiv:2111.03304

Abstract

The basic theory of semi-measures on locally compact Abelian groups is extended to prove the existence of a generalised Eberlein decomposition into such semi-measures.

References in corpus (8)

  • Pure Point Dynamical and Diffraction Spectra
  • On the Fourier Analysis of Measures with Meyer Set Support
  • Pure Point Diffraction and Mean, Besicovitch and Weyl Almost Periodicity
  • A short guide to pure point diffraction in cut-and-project sets
  • Dworkin's argument revisited: point processes, dynamics, diffraction, and correlations
  • Stationary processes with pure point diffraction
  • Diffraction theory and almost periodic distributions
  • Pure point spectrum for dynamical systems and mean almost periodicity
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