Fourier series of periodic ultradistributions

DOI10.1007/BF01091513zbMath0508.46029OpenAlexW1987880387MaRDI QIDQ1837889

V. I. Gorbachuk

Publication date: 1982

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01091513

zbMATH Keywords

trigonometrical polynomialsFourier series of periodic ultradistributionsinductive and projective topologyrepresentation of generalized periodic functionssummability by Abel- Poisson method

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Summability and absolute summability of Fourier and trigonometric series (42A24)

Related Items (2)

Evolutionary pseudodifferential equations in the spaces of generalized periodic functions ⋮ Discrete characterizations of wave front sets of Fourier-Lebesgue and quasianalytic type

Cites Work

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