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Titlebook: Clifford Analysis and Related Topics; In Honor of Paul A. Paula Cerejeiras,Craig A. Nolder,Carmen Judith Van Conference proceedings 2018 S

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Springer Proceedings in Mathematics & Statisticshttp://image.papertrans.cn/c/image/227355.jpg
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Sigurd Solhaug Nielsen,Jørgen KleinWe are giving a characterization of all linear first order partial differential operators with Clifford-algebra-valued coefficients that are associated to the meta-.-monogenic operator. As an application, the solvability of initial value problems involving these operators is shown.
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Some Applications of Parabolic Dirac Operators to the Instationary Navier-Stokes Problem on Conformroblems on cylinders and tori. Solutions are represented in terms of integral operators involving explicit expressions for the Cauchy kernel that are associated to the parabolic Dirac operators acting on spinor sections of these manifolds.
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Decomposition of the Twisted Dirac Operator, spinor space is to be interpreted as an irreducible representation of the spin group. In this article we twist the Dirac operator by replacing the spinor space with an arbitrary irreducible representation of the spin group. In this way, the operator becomes highly reducible, whence we determine its full decomposition.
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Roopal Gupta,Tanuja Sharma,Anupama Prasharmpiled a list of known properties for . when . and present analogous properties for .. We close by discussing the .Poisson kernel, the function that solves the Dirichlet problem on the closed ball in ..
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Sharda S. Nandram,Vanessa C. M. Englertroblems on cylinders and tori. Solutions are represented in terms of integral operators involving explicit expressions for the Cauchy kernel that are associated to the parabolic Dirac operators acting on spinor sections of these manifolds.
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