The modifiedP-integral andP-derivative and their applications

DOI10.1070/SM2012V203N05ABEH004237zbMath1261.43002OpenAlexW1999564819MaRDI QIDQ2914402

Sergey S. Volosivets

Publication date: 19 September 2012

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm2012v203n05abeh004237

zbMATH Keywords

Fourier transformapproximation theorems\({\mathbf P}\)-derivative\({\mathbf P}\)-integraldirect product of finite cyclic groups

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Integral transforms in distribution spaces (46F12) Fractional derivatives and integrals (26A33) Approximation by other special function classes (41A30) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Fourier integral operators applied to PDEs (35S30) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25) Abstract differentiation theory, differentiation of set functions (28A15) Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures (28C05) Analysis on specific locally compact and other abelian groups (43A70)

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