Format:
1 Online-Ressource (xv, 390 pages)
,
digital, PDF file(s).
ISBN:
9780511565717
Series Statement:
Encyclopedia of mathematics and its applications volume 81
Content:
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.
Note:
Title from publisher's bibliographic system (viewed on 05 Oct 2015)
,
Examples of orthogonal polynomials in several bariables -- General properties of orthogonal polynomialsin several variables -- Root systems and coxeter groups -- Sperical harmonics associated with reflection groups -- Classical and generalized classical orthogonal polynomials -- Summability of orthogonal expansions -- Orthogonal polynomials associated with symmetric groups -- Orthogonal polynomials associated with octahedral groups and applications.
Additional Edition:
ISBN 9780521800433
Additional Edition:
ISBN 9780521800433
Additional Edition:
Erscheint auch als Dunkl, Charles F., - 1941- Orthogonal polynomials of several variables Cambridge [u.a.] : Cambridge University Press, 2001 ISBN 9780521800433
Additional Edition:
ISBN 0521800439
Additional Edition:
Print version ISBN 9780521800433
Language:
English
Subjects:
Mathematics
Keywords:
Orthogonale Polynome
;
Funktion
;
Mehrere reelle Variable
DOI:
10.1017/CBO9780511565717
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