A derivative on the field of \(p\)-adic numbers

DOI10.1134/S2070046610040023zbMath1284.46065WikidataQ57621849 ScholiaQ57621849MaRDI QIDQ1760240

Muharem Avdispahić, Nacima Memić

Publication date: 13 November 2012

Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)

zbMATH Keywords

homogeneous distributionsmultiplicative convolution\(p\)-adic derivative

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Non-Archimedean analysis (26E30)

Related Items (1)

Solution of linear system of differential equations by rational canonical form

Cites Work

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• The derivatives and integrals of fractional order in Walsh-Fourier analysis, with applications to approximation theory
• On some properties of fractional dyadic derivative and integral
• Fractional differentiation on the group of integers of a \(p\)-adic or \(p\)-series field
• On the definition of dyadic differentiation
• On a Concept of a Derivative Among Functions Defined on the Dyadic Field
• Walsh-fourier series and the concept of a derivative^†

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