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

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

Creator
Contributor
Summary
  • "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
Language
eng
Work
Publication
Extent
1 online resource (xv, 390 pages)
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
Isbn
9781107089518
Instance
Label
Orthogonal polynomials of several variables
Title
Orthogonal polynomials of several variables
Statement of responsibility
Charles F. Dunkl, Yuan Xu
Creator
Contributor
Subject
Language
eng
Summary
  • "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
Member of
Cataloging source
N$T
http://library.link/vocab/creatorDate
1941-
http://library.link/vocab/creatorName
Dunkl, Charles F.
Dewey number
515/.55
Index
index present
LC call number
QA404.5
LC item number
.D86 2001eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1957-
http://library.link/vocab/relatedWorkOrContributorName
Xu, Yuan
Series statement
Encyclopedia of mathematics and its applications
Series volume
volume 81
http://library.link/vocab/subjectName
  • Orthogonal polynomials
  • Functions of several real variables
  • MATHEMATICS
  • MATHEMATICS
  • Functions of several real variables
  • Orthogonal polynomials
  • Orthogonale Polynome
  • Orthogonale reeksen
  • Polynômes orthogonaux
  • Fonctions de plusieurs variables réelles
Label
Orthogonal polynomials of several variables, Charles F. Dunkl, Yuan Xu
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references (pages 372-383) and indexes
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
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
Control code
861692872
Dimensions
unknown
Extent
1 online resource (xv, 390 pages)
File format
unknown
Form of item
online
Isbn
9781107089518
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)861692872
Label
Orthogonal polynomials of several variables, Charles F. Dunkl, Yuan Xu
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references (pages 372-383) and indexes
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
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
Control code
861692872
Dimensions
unknown
Extent
1 online resource (xv, 390 pages)
File format
unknown
Form of item
online
Isbn
9781107089518
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)861692872

Subject

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