Clifford Analysis and Its Applications
By: edited by F. Brackx, J.S.R. Chisholm, V. Souček
Contributors: Chisholm, J. S. R.; Souček, V.
Series: NATO Science Series II: Mathematics, Physics and Chemistry, 1568-2609 -- 25; NATO science series -- 25.
Publisher: Springer Netherlands
Published: 2001
Place of publication: Dordrecht
Language: eng
Format: [electronic resource] /
Number of pages: 432
ISBN-13: 9789401008624
Other titles: Proceedings of the NATO Advanced Research Workshop, Prague, Czech Republic, October 30-November 3, 2000
Description: In its traditional form, Clifford analysis provides the function theory for solutions of the Dirac equation. From the beginning, however, the theory was used and applied to problems in other fields of mathematics, numerical analysis, and mathematical physics. recently, the theory has enlarged its scope considerably by incorporating geometrical methods from global analysis on manifolds and methods from representation theory. New, interesting branches of the theory are based on conformally invariant, first-order systems other than the Dirac equation, or systems that are invariant with respect to a group other than the conformal group. This book represents an up-to-date review of Clifford analysis in its present form, its applications, and directions for future research. <br/> <em>Readership:</em> Mathematicians and theoretical physicists interested in Clifford analysis itself, or in its applications to other fields.