A Century of Interplay Between Taylor Series, Fourier Series and Brownian Motion

DOI10.1112/S0024609396002913zbMath0865.01012OpenAlexW2163736028MaRDI QIDQ4896126

Jean-Pierre Kahane

Publication date: 21 November 1996

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0024609396002913

zbMATH Keywords

Brownian motionTaylor seriesFourier seriesrandomnessrandom Fourier seriesWienerlacunarityrandom series of functionsZygmundEmile BorelPaley

Mathematics Subject Classification ID

History of mathematics in the 20th century (01A60) Brownian motion (60J65) Power series (including lacunary series) in one complex variable (30B10) Lacunary series of trigonometric and other functions; Riesz products (42A55) History of probability theory (60-03) History of harmonic analysis on Euclidean spaces (42-03) History of functions of a complex variable (30-03) Random power series in one complex variable (30B20)

Related Items (5)

A Gaussian version of Littlewood’s theorem for random power series ⋮ Smooth Random Functions, Random ODEs, and Gaussian Processes ⋮ On the path properties of a lacunary power series ⋮ Optimal rates for independence testing via $U$-statistic permutation tests ⋮ Holomorphic extensions associated with series expansions

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