Solution of Partial Differential Equations by Method of Hyperholomorphic functions

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dc.creatorPogorui, Anatoliy A.
dc.date2008-11-16
dc.date.accessioned2026-07-07T10:18:44Z
dc.date.available2026-07-07T10:18:44Z
dc.descriptionIt is well known that the real and imaginary parts of any holomorphic function are harmonic functions of two variables. In this paper we generalize this property to finite-dimensional commutative algebras. We prove that if some basis of a subspace of a commutative algebra satisfies a polynomial equation then components of a hyperholomorphic function on the subspace are solutions of the respective partial differential equation.
dc.description4 pages
dc.identifierhttps://arxiv.org/abs/0811.2555
dc.identifierhttp://arxiv.org/abs/0811.2555
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/174286
dc.subjectAnalysis of PDEs
dc.subjectCommutative Algebra
dc.subject35C99; 32W50
dc.titleSolution of Partial Differential Equations by Method of Hyperholomorphic functions
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