The \(p\)-adic differential-integral type operator

DOI10.1007/BF01904040zbMath0796.42018OpenAlexW45837386MaRDI QIDQ1313675

Zelin He

Publication date: 29 September 1994

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01904040

zbMATH Keywords

\(p\)-adic groupsWalsh seriesdyadic differentiation\(p\)-adic derivative operator\(p\)-adic integral operatorbest approximation by generalized Walsh polynomialsButzer-Wagner theory

Mathematics Subject Classification ID

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

Related Items (1)

The optimal dyadic derivative

Cites Work

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• The derivatives and integrals of fractional order in Walsh-Fourier analysis, with applications to approximation theory
• On term by term dyadic differentiability of Walsh series
• Fractional differentiation on the group of integers of a \(p\)-adic or \(p\)-series field
• Automorphisms of certain unipotent groups
• Generalized Walsh transform
• The Type of the Maximal Operators of a Class of Walsh Convolution Operators
• On a generalization of the concept of derivative
• Walsh-fourier series and the concept of a derivative^†

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