Operational calculus on the ring ofp-adic integers

DOI10.1080/10652469.2010.541049zbMath1226.44004OpenAlexW2032840248MaRDI QIDQ3015102

Yauhen Radyna

Publication date: 8 July 2011

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2010.541049

zbMATH Keywords

valuation\(p\)-adic integersnon-Archimedean algebraLaplace convolution\(p\)-adic interpolation\(p\)-adic Mikusiński fielddisconnected fractal-type like topological spaceMikusiński type operational calculus

Mathematics Subject Classification ID

Calculus of Mikusi?ski and other operational calculi (44A40) Formally (p)-adic fields (12J12)

Cites Work

• Existence and uniqueness of \(v\)-asymptotic expansions and Colombeau's generalized numbers
• Analytical and Algebraic Aspects of the Operational Calculus
• A Division Algebra for Sequences and Its Associated Operational Calculus
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