The two-sided laplace transform for boehmians

DOI10.1080/10652469408819051zbMath0827.46037OpenAlexW1966567246MaRDI QIDQ4837531

Dennis Nemzer, Mikusiński, Piotr, Alicia Morse

Publication date: 17 December 1995

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469408819051

zbMATH Keywords

differential equationstwo-sided Laplace transformspace of Boehmiansclass of analytic functions which are transforms of Boehmiansgeneralized functions with unbounded support which are locally of infinite order

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Laplace transform (44A10) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Related Items (14)

EXTENDED RIDGELET TRANSFORM ON DISTRIBUTIONS AND BOEHMIANS ⋮ Value of a Boehmian at a point and at infinity ⋮ Multidimensional quaternionic Gabor transforms ⋮ Generalized Radon transform ⋮ FOURIER SINE AND COSINE TRANSFORMS ON BOEHMIAN SPACES ⋮ Poisson transform on Boehmians ⋮ Stieltjes transform for Boehmians ⋮ A unified extension of Stieltjes and Poisson transforms to Boehmians ⋮ Quaternionic Stockwell transform ⋮ Stockwell transform for Boehmians ⋮ Plancherel theorem for vector valued functions and Boehmians ⋮ Hilbert transform for boehmians ⋮ Extending the Stieltjes transform. II ⋮ Boehmians and fourier transform

Cites Work

• Distributional and entire solutions of ordinary differential and functional differential equations
• Distributional solutions of the hypergeometric differential equation
• Boehmians and generalized functions
• Generalized-function solutions of differential and functional differential equations
• Abelian theorems for transformable Boehmians
• A transform related to the Poisson integral for a half-plane
• Linear partial differential operators and generalized distributions
• Periodic Boehmians II

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