ENGLISH

Orthogonal Polynomials of Several Variables (Encyclopedia of Mathematics and its Applications)

By Charles F. Dunkl , Yuan Xu

Book information

Year
2001
ISBN
0521800439, 9780521800433
Language
english
Format
DJVU
Filesize
7 MB (7171129 bytes)
Edition
1
Pages
408\407
Time added
2011-06-04 13:46:07

Description

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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