\(p\)-adic Mikusinski calculus and its applications to the Fourier and the Mahler expansions of locally constant functions

DOI10.1134/S2070046611040078zbMath1254.42010MaRDI QIDQ1760297

Aliaksandr Radyna

Publication date: 13 November 2012

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

zbMATH Keywords

Fourier expansionmultiplierslocally constant functionsMahler functions\(p\)-adic hyperfunctions\(p\)-adic Mikusinski operational calculusfractional part of a number

Mathematics Subject Classification ID

Calculus of Mikusi?ski and other operational calculi (44A40) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Multipliers in one variable harmonic analysis (42A45)

Cites Work

• Operational calculus. A theory of hyperfunctions. Transl. from the Japanese
• Operational calculus
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