Orthogonal Polynomials of Several Variables (Encyclopedia of Mathematics and its Applications, Series Number 81) - Hardcover

Dunkl, Charles F.; Xu, Yuan

Hardcover

ISBN 10: 0521800439 ISBN 13: 9780521800433

Publisher: Cambridge University Press, 2001

Synopsis

This is the first modern book on orthogonal polynomials of several variables, which are interesting both as objects of study and as tools used in multivariate analysis, including approximations and numerical integration. The book, which is intended both as an introduction to the subject and as a reference, presents the theory in elegant form and with modern concepts and notation. It introduces the general theory and emphasizes the classical types of orthogonal polynomials whose weight functions are supported on standard domains such as the cube, the simplex, the sphere and the ball, or those of Gaussian type, for which fairly explicit formulae exist. The approach is a blend of classical analysis and symmetry-group-theoretic methods. Reflection groups are used to motivate and classify symmetries of weight functions and the associated polynomials. The book will be welcomed by research mathematicians and applied scientists, including applied mathematicians, physicists, chemists and engineers.

About this title

About the Authors

Charles F. Dunkl is Professor of Mathematics at the University of Virginia, Charlottesville.

Yuan Xu is Professor of Mathematics at the University of Oregon, Eugene.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2001
• Language: English
• ISBN 10: 0521800439
• ISBN 13: 9780521800433
• Binding: Hardcover
• Number of pages: 408