Almansi decompositions for polyharmonic, polyheat, and polywave functions

DOI10.4064/SM172-1-5zbMath1093.31001OpenAlexW2005933855WikidataQ58038917 ScholiaQ58038917MaRDI QIDQ5469312

Uwe Kaehler, Guang Bin Ren

Publication date: 17 May 2006

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/sm172-1-5

zbMATH Keywords

polyharmonic functionAlmansi decompositionpolyheat and polywave operators

Mathematics Subject Classification ID

Series solutions to PDEs (35C10) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

Related Items (8)

Almansi-type decomposition theorem for bi-\(k\)-regular functions in the Clifford algebra \(Cl_{2n+2,0} (\mathbb{R})\) ⋮ Cauchy integral formula for k-monogenic function with \({\alpha}\)-weight ⋮ Howe duality in Dunkl superspace ⋮ Almansi decomposition of polynomials of quaternionic Dirac operators ⋮ On an expansion of Almansi type ⋮ Solutions of the Dirac and related equations in superspace ⋮ Almansi-type theorem for polymonogenic functions in ballshell domain ⋮ Almansi decomposition for poly-ultrahyperbolic functions

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