Continuity and the central limit theorem for random trigonometric series

DOI10.1007/BF00534206zbMath0382.60041OpenAlexW2082312910MaRDI QIDQ4160157

Michael B. Marcus

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/bf00534206

Mathematics Subject Classification ID

Sample path properties (60G17) Functional limit theorems; invariance principles (60F17)

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Cites Work

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• Central limit theorems for C(S)-valued random variables
• Uniform convergence of random Fourier series
• Monotonicity of certain functionals under rearrangement
• The sizes of compact subsets of Hilbert space and continuity of Gaussian processes
• Some properties of trigonometric series whose terms have random signs
• Integrability of Infinite Sums of Independent Vector-Valued Random Variables
• Intermediate spaces and interpolation, the complex method
• Sums of independent Banach space valued random variables
• Sufficient conditions for the continuity of stationary Gaussian processes and applications to random series of functions

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