Necessary and sufficient conditions for sample continuity of random Fourier series and of harmonic infinitely divisible processes

DOI10.1214/aop/1176989916zbMath0790.60039OpenAlexW1991937002MaRDI QIDQ1184077

Michel Talagrand

Publication date: 28 June 1992

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176989916

zbMATH Keywords

Lévy measurestationary processeslocally compact Abelian groupcovering numbersinfinitely divisible processesgeneral random Fourier seriesSudakov- type conditions

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Stationary stochastic processes (60G10) Sample path properties (60G17) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Probabilistic methods for one variable harmonic analysis (42A61) Convergence of Fourier series and of inverse transforms (43A50)

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