Codomains for the Cauchy--Riemann and Laplace operators in \(\mathbb R^2\)

DOI10.1155/2008/837415zbMATH Open1171.46030OpenAlexW2154341024MaRDI QIDQ949085

Lloyd Edgar S. Moyo

Publication date: 20 October 2008

Published in: Journal of Function Spaces and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2008/837415

zbMATH Keywords

fundamental solutionCauchy-Riemann operator\(\mathcal{S}'\)-convolutionweighted integrable distribution spaces

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Operations with distributions and generalized functions (46F10) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Generalizations of Bers and Vekua type (pseudoanalytic, (p)-analytic, etc.) (30G20)

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