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Biregular extendability via isotonic Clifford analysis
Author(s) -
Blaya Ricardo Abreu,
Reyes Juan Bory,
Peña Dixan Peña,
Sommen Frank
Publication year - 2009
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1209
Subject(s) - mathematics , isotonic , context (archaeology) , clifford analysis , extension (predicate logic) , square (algebra) , algebra over a field , calculus (dental) , mathematical analysis , pure mathematics , geometry , computer science , dirac operator , medicine , paleontology , biology , programming language , dentistry
We use the so‐called isotonic functions to obtain extension theorems in the framework of biregular functions of Clifford analysis. In this context we also prove the Plemelj–Sokhotski formulae for the Bochner–Martinelli integral and an expression for the square of its singular version. Copyright © 2009 John Wiley & Sons, Ltd.