Best L p -Approximation of Generalized Biaxisymmetric Potentials

DOI10.2307/2043081zbMath0451.31014OpenAlexW4239597021MaRDI QIDQ3897275

Peter A. McCoy

Publication date: 1980

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2043081

zbMATH Keywords

integral transformationbest approximationholomorphic functionharmonic extension

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Best approximation, Chebyshev systems (41A50) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Connections of harmonic functions with differential equations in higher dimensions (31B35)

Related Items (4)

Unnamed Item ⋮ Representation of harmonic functions in \(R^ 4\) ⋮ Double-layer potentials for a generalized bi-axially symmetric Helmholtz equation II ⋮ Approximation of generalized biaxially symmetric potentials on certain domains

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