Special Function Potentials for the Laplacian

DOI10.4153/CJM-1982-081-3zbMath0505.47037MaRDI QIDQ4741887

Howard D. Fegan

Publication date: 1982

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

heat equationcompact Lie groupFourier transformationCauchy integral formulaanalytic operator functioncalculus of powers

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) General theory of partial differential operators (47F05) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Spectral theory; eigenvalue problems on manifolds (58C40) Connections of harmonic functions with differential equations in two dimensions (31A35)

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