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

arsenal

从容

GROUP

DEAWL

The Geometry of Generalized Dirac Operators and the Standard Model of Particle Physicsodel 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.

土产

Hypercomplex Derivability — The Characterization of Monogenic Functions in ℝ, by Their Derivativeonogenic functions) the existence of a monogenic derivative does not directly follow. We show that if some relation between higher order differential forms are introduced then, (as in the complex case) the conjugated Cauchy-Riemann operator again gives the monogenic derivative of a monogenic function in ℝ.

finale

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STING

The Möbius Transformation, Green Function and the Degenerate Elliptic Equation the compactification,ℝ. U ∞, of ℝ.. With the aid of Green function we solve the Dirichlet problem for the non-homogeneous Laplace-Beltrami equation. Then we show that for the Laplace-Beltrami equation (which is a degenerate elliptic type) there exists twice continuously differentiable solutions on

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phytochemicals