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Titlebook: Clifford Algebras and their Applications in Mathematical Physics; Volume 2: Clifford A John Ryan,Wolfgang Sprößig Book 2000 Springer Scienc

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The Structure of Monogenic FunctionsWe study the structure of monogenic functions using symmetries of the Dirac operator.
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The Democratic Republic of the Congoes with metrics of arbitrary signatures. In particular, we derive expressions for those isometry operators which correspond to coordinate parallelograms that can be continuously shrunk to zero. The isometry operators are expressed in terms of infinite series which are defined by two recursion relati
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Palgrave Critical University Studiesodel of particle physics in a unified way. In this frame the fundamental objects are generalized Dirac operators, and the geometrical setup is that of a Clifford module bundle over an even dimensional closed Riemannian manifold.
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Samantha Champagnie,Janis L. Gogan definition of the Schwarzian is not clear. In this paper, we introduce a “natural” generalization of the Schwarzian using the Clifford algebra and show that it vanishes exactly for Möbius transformations. The situation is simplest for non-singular transformations of the Euclidean space although the
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Fred Niederman,Elizabeth White Bakerector functions . = .( .., .) + .( .) .( .., .), where . and . are real-valued. The equation . splits into two parts. One of them depends only on x.,.. This leads to a system of partial differential equations which coincides with the system defining hypermonogenic functions. These functions arise fo
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