2006/02/10 by Frédéric Paccaut, Paccaut, Frédéric, Dominique Schneider +1
Decision Sciences · Mathematics · #60G42 #60G50 #Advanced Harmonic Analysis Research #FOS: Mathematics #Mathematical Approximation and Integration #Primary 60G15 #Probability (math.PR) #Probability and Risk Models
paper · pdf · doi:10.48550/arxiv.math/0602207
openalex publication_date 2006/02/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the continuity properties of trajectories for some random series of functions ∑ a_kf(αX_k(ω)) where a_k is a complex sequence, X_k a sequence of real independent random variables, f is a real valued function with period one and summable Fourier coefficients. We obtain almost sure continuity results for these periodic or almost periodic series for a large class of functions, where the "almost sure" does not depend on the function.