Lebesgue constants of the Walsh system and Banach limits

DOI10.1134/S0037446616030034zbMath1354.42047OpenAlexW2464589078MaRDI QIDQ311237

Serguei V. Astashkin, Evgeny M. Semenov

Publication date: 29 September 2016

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446616030034

zbMATH Keywords

Walsh functionsRademacher functionsLebesgue constantsalmost convergent sequenceBanach limit

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items (6)

On the boundedness of the \(L^{1}\)-norm of Walsh-Fejér kernels ⋮ Banach limits: extreme properties, invariance and the Fubini theorem ⋮ Some properties of the Walsh-Nörlund means ⋮ Invariant Banach limits and applications to noncommutative geometry ⋮ Geometry of Banach limits and their applications ⋮ Conjugate transforms on dyadic group

Cites Work

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• Lebesgue constants of the Walsh system
• Invariant Banach limits and applications
• A contribution to the theory of divergent sequences
• Relations Between Function Spaces
• Banach Limits
• On the Walsh Functions

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