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Hermitian Clifford analysis and resolutions
Author(s) -
Sabadini Irene,
Sommen Frank
Publication year - 2002
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.378
Subject(s) - hermitian matrix , mathematics , clifford algebra , algebra over a field , linear algebra , basis (linear algebra) , clifford analysis , jordan algebra , pure mathematics , algebra representation , dirac operator , geometry
In this paper, we discuss the so‐called Witt basis in a Clifford algebra and we axiomatically define an algebra of abstract Hermitian vector variables similar to the ‘radial algebra’. In this setting, we introduce some linear partial differential operators and we study their resolutions. Copyright © 2002 John Wiley & Sons, Ltd.