Random Fourier Series and Trigonometric Sums, I

2014 ◽  
pp. 75-89
Author(s):  
Michel Talagrand
Keyword(s):  
Fourier Series ◽  
Trigonometric Sums ◽  
Random Fourier Series

scholarly journals The Jain–Monrad criterion for rough paths and applications to random Fourier series and non-Markovian Hörmander theory

2016 ◽  
Vol 44 (1) ◽  
pp. 684-738 ◽  
Author(s):  
Peter K. Friz ◽  
Benjamin Gess ◽  
Archil Gulisashvili ◽  
Sebastian Riedel
Keyword(s):  
Fourier Series ◽  
Rough Paths ◽  
Random Fourier Series

scholarly journals A Borderline Random Fourier Series

1995 ◽  
Vol 23 (2) ◽  
pp. 776-785 ◽  
Author(s):  
Michel Talagrand
Keyword(s):  
Fourier Series ◽  
Random Fourier Series

Random Fourier Series on Compact Noncommutative Groups

1975 ◽  
Vol 27 (6) ◽  
pp. 1400-1407 ◽  
Author(s):  
Massimo A. Picardello
Keyword(s):  
Fourier Series ◽  
Compact Group ◽  
Irreducible Representations ◽  
Countable Subset ◽  
Dual Object ◽  
Image Position ◽  
Random Fourier Series

1. Let G be a compact group, let I b e a subset of its dual object 𝚪, which, without loss of generality, will be assumed to be a countable subset. Let Di, i ∈ I , be irreducible representations of G of degree di. The Fourier series of a function F in L1(G) is denned bywhere

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