The Fourier Transform in Clifford Analysis

Authors: Gürlebeck, Klaus, Habetha, Klaus, Sprößig, Wolfgang
Presents a unique hypercomplex strategy for the solution of boundary value problems and initial-boundary value problems in higher dimensions
Details hypercomplex versions of the Fourier transform and applications
Offers new approaches to boundary value problems in elasticity and fluid mechanics from modeling to a solution theory
Demonstrates the construction of hyperholomorphic orthogonal polynomial Appell systems in elementary domains in R^3

Geometric algebra provides a rich and general mathematical framework for the development of solutions, concepts and computer algorithms without losing geometric insight into the problem in question. Many current mathematical subjects can be treated in an unified manner without abandoning the mathematical system of geometric algebra, such as multilinear algebra, projective and affine geometry, calculus on manifolds, Riemann geometry, the representation of Lie algebras and Lie groups using bivector algebras, and conformal geometry.

This collection covers all fields of mathematics, a must-have for the aspiring maths students and scholars alike.