Continuit� et th�or�me central limite pour les transform�es de Fourier des mesures al�atoires du second ordre

DOI10.1007/BF00534207zbMath0393.60020OpenAlexW2913386775MaRDI QIDQ4176200

Xavier Fernique

Publication date: 1978

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00534207

zbMATH Keywords

ConvexityInequalitiesCentral Limit TheoremRandom FunctionsPre GaussianRandom Trigonometric SeriesSpectral Measure

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) General second-order stochastic processes (60G12) Sample path properties (60G17) Random measures (60G57) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (4)

Multivariate empirical characteristic functions ⋮ Régularité de fonctions aléatoires gaussiennes stationnaires. (Regularity of stationary Gaussian random functions) ⋮ Characterizations of almost surely continuous p-stable random Fourier series and strongly stationary processes ⋮ [https://portal.mardi4nfdi.de/wiki/Publication:3956139 Loi du logarithme it�r� dans C S) et fonction caract�ristique empirique]

Cites Work

• [https://portal.mardi4nfdi.de/wiki/Publication:4104649 Mesures majorantes et th�or�me de la limite centrale dans C(S)]
• Continuity and the central limit theorem for random trigonometric series
• Sufficient conditions for the continuity of stationary Gaussian processes and applications to random series of functions
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