Extension theorem for complex clifford algebras-valued functions on fractal domains

Paul Bosch, Ricardo Abreu-Blaya, Juan Bory-Reyes

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Abstract

Monogenic extension theorem of complex Clifford algebras-valued functions over a bounded domain with fractal boundary is obtained. The paper is dealing with the class of Hlder continuous functions. Applications to holomorphic functions theory of several complex variables as well as to that of the so-called biregular functions will be deduced directly from the isotonic approach. Copyright © 2010 Ricardo Abreu-Blaya et al.
Original languageAmerican English
JournalBoundary Value Problems
DOIs
StatePublished - 26 May 2010
Externally publishedYes

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