The distributional products of particular distributions

DOI10.1016/j.amc.2006.08.098zbMath1129.46031OpenAlexW2020448344MaRDI QIDQ884085

M. A. Aguirre, Chen Kuan Li

Publication date: 13 June 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.08.098

zbMATH Keywords

quadratic formproduct\(\delta\)-function

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10)

Related Items (7)

On defining the distributions \(\delta^k\) and \((\delta')^k\) by fractional derivatives ⋮ The distributional products on spheres and Pizetti's formula ⋮ Unnamed Item ⋮ Remarks on fractional derivatives of distributions ⋮ Several results of fractional derivatives in \(D'(\mathbb R_+)\) ⋮ Asymptotic expansion of thick distributions ⋮ The convolution of analytic functionals

Cites Work

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• The product of \(r^{-k}\) and \(\nabla\delta\) on \(\mathbb{R}^m\)
• The products on the unit sphere and even-dimension spaces
• A convolution product of \((2j)\)th derivative of Dirac's delta in \(r\) and multiplicative distributional product between \(r^{-k}\) and \(\nabla(\triangle^{j}\delta)\)
• On Defining the Convolution of Distributions
• A Commutative Neutrix Product of Distributions on R^m
• The Expansion in Series (of Taylor Types) of ( K −1) Derivative of Dirac'S Delta in m 2 + P
• An approach for distributional products onR^m
• The expansion of
• THE PRODUCT OF DISTRIBUTIONS

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