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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description | 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, in contrast to the associative case. The global Plemelj jump formula is established on the boundary of any axially symmetric domain of octonions. |
doi_str_mv | 10.1007/s11785-020-01054-7 |
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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, in contrast to the associative case. 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subjects | Analysis Higher Dimensional Geometric Function Theory and Hypercomplex Analysis Mathematics Mathematics and Statistics Operator Theory Operators (mathematics) |
title | Global Plemelj Formula of Slice Dirac Operator in Octonions with Complex Spine |
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