Generalized derivatives of spherical associated homogeneous distributions on \(\mathbb R^n\)

DOI10.1016/j.jmaa.2009.02.031zbMath1172.46026OpenAlexW2041230218MaRDI QIDQ1022977

Ghislain R. Franssens

Publication date: 10 June 2009

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.2009.02.031

zbMATH Keywords

generalized partial derivativepotential problemassociated homogeneous distribution

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10)

Cites Work

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• Regularization, pseudofunction, and Hadamard finite part
• Structure theorems for associated homogeneous distributions based on the line
• Regularization and distributional derivatives of ( x ₁ ² + x ₂ ² + . . . + x _p ² ) ^{–½ n} in R ^p