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Special functions and systems in Hermitian Clifford analysis: Higher codimension
Author(s) -
De Schepper Nele,
Peña Dixan Peña,
Sommen Frank
Publication year - 2013
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.3011
Subject(s) - codimension , mathematics , hermitian matrix , clifford analysis , extension (predicate logic) , gauss , cauchy distribution , several complex variables , pure mathematics , cauchy's integral formula , algebra over a field , mathematical analysis , dirac operator , initial value problem , cauchy problem , quantum mechanics , holomorphic function , physics , computer science , programming language
Abstract In this paper, we investigate a Cauchy–Kowalevski (CK) extension problem that arises naturally within the framework of Hermitian Clifford analysis, which concerns the study of Dirac‐like operators in several complex variables. The work presented here includes CK extensions of higher codimension and in particular the CK extension of the Gauss distribution in several complex variables. Copyright © 2013 John Wiley & Sons, Ltd.