Global Plemelj Formula of Slice Dirac Operator in Octonions with Complex Spine

Slice analysis is generalized to the setting of octonions with new book structure whose spine consists of a complex plane instead of the real axis. The theory leads to the study of the slice Dirac operator. The associated Cauchy type kernel turns out to be operator-valued rather than function-valued...

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Veröffentlicht in:	Complex analysis and operator theory 2021-03, Vol.15 (2), Article 33
Hauptverfasser:	Jin, Ming, Ren, Guangbin
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Higher Dimensional Geometric Function Theory and Hypercomplex Analysis Mathematics Mathematics and Statistics Operator Theory Operators (mathematics)
Online-Zugang:	Volltext
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