Generalizing the Walsh-Paley system and binary integration

DOI10.1007/S10958-009-9325-2zbMath1185.42028OpenAlexW1972600923MaRDI QIDQ843538

M. S. Bespalov

Publication date: 15 January 2010

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-009-9325-2

zbMATH Keywords

Walsh-Paley systembinary integrationHadamard numeration

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Integration with respect to measures and other set functions (28A25) Signal theory (characterization, reconstruction, filtering, etc.) (94A12)

Cites Work

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• Operators of the multiplicative Fourier transform
• A Remarkable Series of Orthogonal Functions (I)
• Explicit form of the Dirichlet kernel for Walsh series and transformations
• The Generalized Walsh Functions
• Permutations of the Walsh system that preserve Lebesgue constants

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