Periodic Boehmians

DOI10.1155/S0161171289000840zbMath0736.46041OpenAlexW4235827476MaRDI QIDQ1812826

Dennis Nemzer

Publication date: 25 June 1992

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/46641

zbMATH Keywords

delta sequenceperiodic Boehmiansclass of Boehmians contains all Beurling distributionscomplete metric topological vector space topologyexample of a hyperfunction that is not a Boehmiangrowth conditions on the Fourier coefficients of a Boehmian

Mathematics Subject Classification ID

Calculus of Mikusi?ski and other operational calculi (44A40) Hyperfunctions, analytic functionals (46F15) Distributions, generalized functions, distribution spaces (46F99) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Summability and absolute summability of Fourier and trigonometric series (42A24)

Related Items (25)

Boehmians on the Sphere ⋮ Periodic Boehmians II ⋮ Value of a Boehmian at a point and at infinity ⋮ Some extensions of a certain integral transform to a quotient space of generalized functions ⋮ Unnamed Item ⋮ The Laplace transform on a class of Boehmians ⋮ Estimates and properties of certain \(q\)-Mellin transform on generalized \(q\)-calculus theory ⋮ A new structure of an integral operator associated with trigonometric Dunkl settings ⋮ CONVOLUTION THEOREMS FOR WAVELET TRANSFORM ON TEMPERED DISTRIBUTIONS AND THEIR EXTENSION TO TEMPERED BOEHMIANS ⋮ Estimation of the generalized Bessel-Struve transform in a space of generalized functions ⋮ An extension of the Bessel-Wright transform in the class of Boehmians ⋮ The Watson Fourier transform on a certain class of generalized functions ⋮ Strong Boehmians ⋮ FOURIER SINE AND COSINE TRANSFORMS ON BOEHMIAN SPACES ⋮ Poisson transform on Boehmians ⋮ Lacunary boehmians ⋮ The Fourier Chébli-Trimèche transform on Boehmians ⋮ An extension of some variant of Meijer type integrals in the class of Boehmians ⋮ A characterization of distribution of finite order in the space of Boehmians ⋮ A unified extension of Stieltjes and Poisson transforms to Boehmians ⋮ Stockwell transform for Boehmians ⋮ Plancherel theorem for vector valued functions and Boehmians ⋮ Remarks on topological properties of Boehmians ⋮ Hilbert transform for boehmians ⋮ Boehmians and fourier transform

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