On boundary values for rectifiable curves of a generalization of the Cauchy-type integral related to the Helmholtz operator in $R^2$

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dc.creatorGerus, Oleg F.
dc.creatorShapiro, Michael
dc.date2003-02-14
dc.date.accessioned2026-07-07T04:55:18Z
dc.date.available2026-07-07T04:55:18Z
dc.descriptionThere are considered vector fields and quaternionic $α$-hyperholomorphic functions in a domain of $R^2$ which generalize the notion of solenoidal and irrotational vector fields. There are established sufficient conditions for the corresponding Cauchy-type integral along a closed Jordan rectifiable curve to be continuously extended onto the closure of a domain. The Sokhotski-Plemelj-type formulas are proved as well.
dc.description17 pages, LaTeX2e
dc.identifierhttps://arxiv.org/abs/math/0302176
dc.identifierhttp://arxiv.org/abs/math/0302176
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66531
dc.subjectComplex Variables
dc.subject30G35, 32V05
dc.titleOn boundary values for rectifiable curves of a generalization of the Cauchy-type integral related to the Helmholtz operator in $R^2$
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