Hypercomplex factorization of the Helmholtz equation

DOI10.4171/ZAA/186zbMath0593.35029MaRDI QIDQ1076234

Klaus Gürlebeck

Publication date: 1986

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

zbMATH Keywords

eigenvalue problemfundamental solutionHelmholtz equationquaternionic algebraLyapunov boundaryglobal factorization

Mathematics Subject Classification ID

Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Theoretical approximation in context of PDEs (35A35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) General topics in partial differential equations (35A99)

Related Items (9)

The Schrödinger equation and a multidimensional inverse scattering transform ⋮ On the kernel of the Klein-Gordon operator ⋮ Quaternionic metamonogenic functions in the unit disk ⋮ Sato's hyperfunctions and boundary values of monogenic functions ⋮ \((m,h)\)-monogenic functions related to axially symmetric Helmholtz equations ⋮ Schwarz-type lemmas associated to a Helmholtz equation ⋮ Boundary value problems associated to a Hermitian Helmholtz equation ⋮ Eigenvalue problems for slice functions ⋮ Reduced-quaternionic Mathieu functions, time-dependent Moisil-Teodorescu operators, and the imaginary-time wave equation

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