\(M_{0}\) measures for the Walsh system

DOI10.1007/s00041-008-9047-8zbMath1182.42027OpenAlexW2090607835MaRDI QIDQ1040673

François Parreau, Martine Queffélec

Publication date: 25 November 2009

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

Full work available at URL: https://doi.org/10.1007/s00041-008-9047-8

zbMATH Keywords

Riesz productuniform distributionWalsh functionnormal numberCantor groupfourier transform

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16) Lacunary series of trigonometric and other functions; Riesz products (42A55)

Related Items (1)

Uniform distribution and algorithmic randomness

Cites Work

• Unnamed Item
• The measure of non-normal sets
• Normal numbers, entropy, translations
• Nombres normaux applications aux fonctions pseudoaleatoires
• On Weyl's criterion for uniform distribution
• Distribution modulo 1 and sets of uniqueness

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