Boehmians and generalized functions

DOI10.1007/BF01903334zbMath0652.44005OpenAlexW2063521300MaRDI QIDQ1107058

Mikusiński, Piotr

Publication date: 1988

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01903334

zbMATH Keywords

convergenceBoehmiansdistributionsgeneralized functionsregular operatorsconvolution algebra

Mathematics Subject Classification ID

Calculus of Mikusi?ski and other operational calculi (44A40) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Related Items (20)

Convergence approach spaces: actions ⋮ Boehmians on the Sphere ⋮ Marvels of fractional calculus ⋮ Value of a Boehmian at a point and at infinity ⋮ Some extensions of a certain integral transform to a quotient space of generalized functions ⋮ The Laplace transform on a class of Boehmians ⋮ Estimates and properties of certain \(q\)-Mellin transform on generalized \(q\)-calculus theory ⋮ The two-sided laplace transform for boehmians ⋮ Hermite transform for distribution and Boehmian space ⋮ Strong Boehmians ⋮ Discrete analysis in commutative rings ⋮ A theory of discrete analysis ⋮ A characterization of distribution of finite order in the space of Boehmians ⋮ Boehmians on open sets ⋮ Fourier transform on integrable Boehmians ⋮ Stockwell transform for Boehmians ⋮ \(Z\)-transform for integrable Boehmians ⋮ Plancherel theorem for vector valued functions and Boehmians ⋮ Hilbert transform for boehmians ⋮ Boehmians and fourier transform

Cites Work

• Linear partial differential operators and generalized distributions
• The Support of Mikusinski Operators
• Sur quelques extensions de la notion de distribution
• An algebraic view of distributions and operators
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