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

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chondromalacia

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https://doi.org/10.1057/9780230618404We develop a Borel-Pompeiu formula for functions in several complex variables using Clifford analysis. The obtained formula contains the BochnerMartinelli formula and additional information. The Borel-Pompeiu formula will be used for a new inverse scattering transform in multidimensions.

finale

Vivienne Bozalek,Michalinos ZembylasIn this paper we present an extension of Clifford analysis using commuting as well as anti-commuting variables, thus following the lines of thinking of super-symmetry. However, it turns out that on the level of abstract vector variables, the calculus remains the same.

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conceal

On Quaternionic Beltrami EquationsOne of the most interesting partial differential equations in complex analysis is the Beltrami equation. We will give an overview of possible generalizations of this equation in case of quaternions together with properties of these equations.

coltish

Quaternionic Analysis in Fluid MechanicsWe give a survey of problems in fluid mechanics which could be considered successfully by methods from quaternionic analysis. In particular we study a special problem where stationary Navier-Stokes equations are combined with field induction.

mutineer

A Borel-Pompeiu Formula in ?, and Its Application to Inverse Scattering TheoryWe develop a Borel-Pompeiu formula for functions in several complex variables using Clifford analysis. The obtained formula contains the BochnerMartinelli formula and additional information. The Borel-Pompeiu formula will be used for a new inverse scattering transform in multidimensions.

Outwit

An Extension of Clifford Analysis Towards Super-symmetryIn this paper we present an extension of Clifford analysis using commuting as well as anti-commuting variables, thus following the lines of thinking of super-symmetry. However, it turns out that on the level of abstract vector variables, the calculus remains the same.