4.3 Article

Fundamental Solutions for the First Order Meta-Monogenic Operator

Journal

ADVANCES IN APPLIED CLIFFORD ALGEBRAS
Volume 22, Issue 1, Pages 49-58

Publisher

BIRKHAUSER VERLAG AG
DOI: 10.1007/s00006-011-0293-5

Keywords

Clifford-type algebras depending on parameters; metamonogenic functions; fundamental solutions; Cauchy-Pompeiu Formula

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Using Clifford-type algebras depending on parameters we give explicit representations for fundamental solutions of the first order homogeneous metamonogenic equation. We also prove a Cauchy-Pompeiu Integral Formula.

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