Fractional modified dyadic integral and derivative on \(\mathbb R_{+}\)

DOI10.1007/s10688-005-0026-4zbMath1144.42302OpenAlexW1984721347MaRDI QIDQ883615

Boris I. Golubov

Publication date: 5 June 2007

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-005-0026-4

zbMATH Keywords

Walsh-Fourier transformdyadic convolutionfractional pointwise dyadic derivativefractional pointwise dyadic integralfractional strong dyadic derivativefractional strong dyadic integral

Mathematics Subject Classification ID

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

Related Items (2)

\(p\)-adic wavelets and their applications ⋮ Methods and applications of ultrametric and \(p\)-adic analysis: from wavelet theory to biophysics

Cites Work

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• On dyadic analysis based on the pointwise dyadic derivative
• Fractional differentiation on the group of integers of a \(p\)-adic or \(p\)-series field
• On the definition of dyadic differentiation
• On a generalization of the concept of derivative
• Walsh-fourier series and the concept of a derivative^†

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