Orthogonal polynomials of several variables / Charles F. Dunkl, Yuan Xu.

By:

Dunkl, Charles F, 1941-

Contributor(s):

Xu, Yuan, 1957-

Material type: Text

TextSeries: Encyclopedia of mathematics and its applications ; v. 81.Publisher: Cambridge ; New York : Cambridge University Press, 2001Description: 1 online resource (xv, 390 pages)Content type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9781107089518
1107089514
0511565712
9780511565717
9781107095823
1107095824
9781139882903
1139882902

Subject(s): Genre/Form:

Additional physical formats: Print version:: Orthogonal polynomials of several variablesDDC classification:

515/.55 22

LOC classification:

QA404.5 .D86 2001eb

Other classification:

31.35
31.24

Online resources:

EBSCOhost

Contents:

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.

Review: "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.Summary: Reflection groups are used to motivate and classify symmetries of weight functions and the associated polynomials. Many results come from current research literature. The book will be welcomed by research mathematicians and applied scientists, including applied mathematicians, physicists, chemists and engineers."--Jacket.

Holdings ( 1 )
Title notes ( 6 )

Holdings
Item type	Current library	Collection	Call number	Status	Date due	Barcode	Item holds
eBook	e-Library	EBSCO Mathematics		Available

Total holds: 0

Includes bibliographical references (pages 372-383) and indexes.

"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. Many results come from current research literature. The book will be welcomed by research mathematicians and applied scientists, including applied mathematicians, physicists, chemists and engineers."--Jacket.

Print version record.

Master record variable field(s) change: 072