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- W4386376518 abstract "Abstract We extend constructions of classical Clifford analysis to the case of indefinite non-degenerate quadratic forms. Clifford analogues of complex holomorphic functions -- called monogenic functions -- are defined by means of the Dirac operators that factor a certain wave operator. One of the fundamental features of quaternionic analysis is the invariance of quaternionic analogues of holomorphic function under conformal (or Mobius) transformations. A similar invariance property is known to hold in the context of Clifford algebras associated to positive definite quadratic forms. We generalize these results to the case of Clifford algebras associated to all non-degenerate quadratic forms. This result puts the indefinite signature case on the same footing as the classical positive definite case." @default.
- W4386376518 created "2023-09-02" @default.
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- W4386376518 date "2023-09-01" @default.
- W4386376518 modified "2023-09-28" @default.
- W4386376518 title "Conformal Invariance of Clifford Monogenic Functions in the Indefinite Signature Case" @default.
- W4386376518 doi "https://doi.org/10.21203/rs.3.rs-3301458/v1" @default.
- W4386376518 hasPublicationYear "2023" @default.
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