Helmholtz operator with a quaternionic wave number and associated function theory. II: Integral representations

DOI10.1007/BF01082451zbMath0790.30039OpenAlexW2012342500MaRDI QIDQ1314878

Vladislav V. Kravchenko, Michael V. Shapiro

Publication date: 1 March 1994

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01082451

zbMATH Keywords

Helmholtz operatorquaternionic analysishyperholomorphic functionsPompeiu operator

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Functions of hypercomplex variables and generalized variables (30G35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Einstein-Maxwell equations (83C22)

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Cites Work

• A function theory for the operator D-λ
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