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

Dunkl, Charles F.; Xu, Yuan

 
9780521800433: Orthogonal Polynomials of Several Variables (Encyclopedia of Mathematics and its Applications, Series Number 81)
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 valuable tools used in multivariate analysis, including approximations and numerical integration. The book 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. It also focuses on those of Gaussian type, for which fairly explicit formulae exist. The authors' approach blends classical analysis and symmetry-group-theoretic methods. The book will be welcomed by research mathematicians and applied scientists, including applied mathematicians, physicists, chemists and engineers.

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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.

"About this title" may belong to another edition of this title.

Publisher
Cambridge University Press
Publication date
2001
Language
English
ISBN 10 
0521800439
ISBN 13 
9780521800433
Binding
Hardcover
Edition number
1
Number of pages
408