The products on the unit sphere and even-dimension spaces

DOI10.1016/J.JMAA.2004.10.031zbMath1073.46031OpenAlexW2057855044MaRDI QIDQ1771383

Chen Kuan Li

Publication date: 21 April 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.10.031

zbMATH Keywords

Laurent series\(\delta\)-FunctionResidue and the Hilbert transform

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10)

Related Items (4)

Several results of fractional differential and integral equations in distribution ⋮ The distributional products on spheres and Pizetti's formula ⋮ The distributional products of particular distributions ⋮ The convolution of analytic functionals

Cites Work

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• The product of \(r^{-k}\) and \(\nabla\delta\) on \(\mathbb{R}^m\)
• 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
• A note on the product^*
• The Expansion in Series (of Taylor Types) of ( K −1) Derivative of Dirac'S Delta in m 2 + P

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