Hardy spaces of Clifford algebra-valued monogenic functions in exterior domains and a higher dimensional version of Cauchy’s vanishing theorem

DOI10.1080/17476933.2016.1250915zbMath1373.35082OpenAlexW2594859847MaRDI QIDQ5357804

Irina Mitrea, Marius Mitrea, Dorina Mitrea, Emilio Marmolejo Olea

Publication date: 12 September 2017

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2016.1250915

zbMATH Keywords

Helmholtz operatorradiation conditionuniformly rectifiable domainperturbed Dirac operatorfar field patternAhlfors regular domainmultidimensional Cauchy-type operators

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Fundamental solutions to PDEs (35A08) Integral representations of solutions to PDEs (35C15) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Clifford algebras, spinors (15A66) Time-dependent Schrödinger equations and Dirac equations (35Q41) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)

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