Orthogonal polynomials of several variables
Charles F. Dunkl, Yuan Xu
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.
類別:
年:
2001
出版商:
CUP
語言:
english
頁數:
404
ISBN 10:
0521800439
ISBN 13:
9780521800433
系列:
Encyclopedia of Mathematics and its Applications
文件:
DJVU, 4.15 MB
IPFS:
,
english, 2001