An Extension Theorem for Biregular Functions in Clifford Analysis

DOI10.1007/978-3-7643-9893-4_1zbMath1173.30032OpenAlexW161685325MaRDI QIDQ5192383

Juan Bory-Reyes, Ricardo Abreu-Blaya

Publication date: 5 August 2009

Published in: Hypercomplex Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-7643-9893-4_1

zbMATH Keywords

extension theoremsAhlfors-David regular and rectifiable surfaceBochner-Mar\-ti\-ne\-l\-li formulasisotonic Cauchy transformisotonic Clifford analysistwo-sided biregular functions

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Functions of hypercomplex variables and generalized variables (30G35) Boundary value problems in the complex plane (30E25) Generalizations of Bers and Vekua type (pseudoanalytic, (p)-analytic, etc.) (30G20)

Cites Work

• Cauchy transform and rectifiability in Clifford analysis
• Martinelli-Bochner formula using Clifford analysis
• The isotonic Cauchy transform
• Martinelli-Bochner type formulae in complex Clifford analysis
• A bochner—martinelli formula for the biregular functions of clifford analysis
• Two hartogs theorems for nullsolutions of overdetermined systems in euclidean space
• Complex Analysis: A Brief Tour into Higher Dimensions
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