Uniform convergence of random Fourier series

DOI10.1007/BF02386200zbMath0317.42008OpenAlexW2046699752MaRDI QIDQ1221879

Michael B. Marcus

Publication date: 1975

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02386200

Mathematics Subject Classification ID

Convergence and absolute convergence of Fourier and trigonometric series (42A20) Probabilistic methods for one variable harmonic analysis (42A61)

Related Items (5)

A necessary and sufficient condition for probabilistic continuity on a boundaryless compact Riemannian manifold ⋮ On Random Fourier Series ⋮ Stable Measures and Central Limit Theorems in Spaces of Stable Type ⋮ Continuity and the central limit theorem for random trigonometric series ⋮ Integrability of Infinite Sums of Independent Vector-Valued Random Variables

Cites Work

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• Continuity of Gaussian processes and random Fourier series
• A comparison of continuity conditions for Gaussian processes
• Some properties of trigonometric series whose terms have random signs
• 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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