The billard theorem for multiple random Fourier series

DOI10.1007/s00041-016-9467-9zbMath1370.42008OpenAlexW2329422149MaRDI QIDQ515869

Hermine Biermé, Samuel Ronsin, Lionel Moisan

Publication date: 17 March 2017

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00041-016-9467-9

zbMATH Keywords

multiple Fourier seriesrandom fieldsrandom Fourier seriesrandom phasebillard theorem

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Sample path properties (60G17) Fourier series and coefficients in several variables (42B05) Summability in several variables (42B08)

Related Items (2)

Random Fourier series with dependent random variables ⋮ Fourier Series Expansion of Stochastic Measures

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fejér means for multivariate Fourier series
• On the convergence of sums of independent Banach space valued random variables
• PROBABILITY DENSITY OF FINITE FOURIER SERIES WITH RANDOM PHASES
• On Billard's Theorem for Random Fourier Series
• Random Fourier Series with Applications to Harmonic Analysis. (AM-101)
• Random Phase Textures: Theory and Synthesis
• Sur les ensembles de divergence des séries trigonométriques
• Bounded and Continuous Random Fourier Series on Noncommutative Groups
• On the divergence of multiple Fourier series
• Séries de Fourier aléatoirement bornées, continues uniformément convergentes
• Convergence, Uniqueness, and Summability of Multiple Trigonometric Series
• On the convergence of multiple Fourier series

This page was built for publication: The billard theorem for multiple random Fourier series