A Gaussian version of Littlewood’s theorem for random power series

DOI10.1090/proc/15922zbMath1502.30008arXiv2007.06285OpenAlexW4210557189WikidataQ113822911 ScholiaQ113822911MaRDI QIDQ5097340

Chao Liu, Kunyu Guo, Xiang Fang, Guozheng Cheng

Publication date: 23 August 2022

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.06285

zbMATH Keywords

Hardy spaceGaussian processcovariance matrixrandom analytic function

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Random power series in one complex variable (30B20)

Related Items (1)

Generating probability distributions on intervals and spheres: convex decomposition

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Taylor coefficients and coefficient multipliers of Hardy and Bergman-type spaces
• General properties of Taylor series 1896-1996
• Gaussian measures of dilatations of convex symmetric sets
• Zeros of Gaussian analytic functions
• Notes on random functions
• Random weighted shifts
• Zeros of the i.i.d. Gaussian power series: a conformally invariant determinantal process
• A theorem of Littlewood and lacunary series for compact groups
• Some properties of trigonometric series whose terms have random signs
• Topologies of group algebras and a theorem of Littlewood
• Random Fourier Series with Applications to Harmonic Analysis. (AM-101)
• Analysis in Banach Spaces
• A Century of Interplay Between Taylor Series, Fourier Series and Brownian Motion
• Bounded Analytic Functions
• Séries de Fourier aléatoirement bornées, continues uniformément convergentes
• An introduction to frames and Riesz bases

This page was built for publication: A Gaussian version of Littlewood’s theorem for random power series