Orthogonal polynomials of several variables /:
"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...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Weitere Verfasser: | |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge ; New York :
Cambridge University Press,
2001.
|
| Schriftenreihe: | Encyclopedia of mathematics and its applications ;
v. 81. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | "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 |
| Beschreibung: | 1 online resource (xv, 390 pages) |
| Bibliographie: | Includes bibliographical references (pages 372-383) and indexes. |
| ISBN: | 9781107089518 1107089514 0511565712 9780511565717 9781107095823 1107095824 9781139882903 1139882902 |
Internformat
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| 245 | 1 | 0 | |a Orthogonal polynomials of several variables / |c Charles F. Dunkl, Yuan Xu. |
| 264 | 1 | |a Cambridge ; |a New York : |b Cambridge University Press, |c 2001. | |
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| 505 | 0 | 0 | |t Examples of orthogonal polynomials in several bariables -- |t General properties of orthogonal polynomialsin several variables -- |t Root systems and coxeter groups -- |t Sperical harmonics associated with reflection groups -- |t Classical and generalized classical orthogonal polynomials -- |t Summability of orthogonal expansions -- |t Orthogonal polynomials associated with symmetric groups -- |t Orthogonal polynomials associated with octahedral groups and applications. |
| 520 | 1 | |a "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 | |
| 520 | 8 | |a 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 | |
| 588 | 0 | |a Print version record. | |
| 650 | 0 | |a Orthogonal polynomials. |0 http://id.loc.gov/authorities/subjects/sh85095794 | |
| 650 | 0 | |a Functions of several real variables. |0 http://id.loc.gov/authorities/subjects/sh85052359 | |
| 650 | 6 | |a Polynômes orthogonaux. | |
| 650 | 6 | |a Fonctions de plusieurs variables réelles. | |
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Datensatz im Suchindex
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| _version_ | 1816882249047474176 |
| adam_text | |
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| author | Dunkl, Charles F., 1941- |
| author2 | Xu, Yuan, 1957- |
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| author_facet | Dunkl, Charles F., 1941- Xu, Yuan, 1957- |
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| callnumber-first | Q - Science |
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| 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. |
| ctrlnum | (OCoLC)861692872 |
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| id | ZDB-4-EBA-ocn861692872 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:25:36Z |
| institution | BVB |
| isbn | 9781107089518 1107089514 0511565712 9780511565717 9781107095823 1107095824 9781139882903 1139882902 |
| language | English |
| oclc_num | 861692872 |
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| publisher | Cambridge University Press, |
| record_format | marc |
| series | Encyclopedia of mathematics and its applications ; |
| series2 | Encyclopedia of mathematics and its applications ; |
| spelling | Dunkl, Charles F., 1941- https://id.oclc.org/worldcat/entity/E39PBJw8WTY3QQfRmCCG86bKh3 http://id.loc.gov/authorities/names/n88682555 Orthogonal polynomials of several variables / Charles F. Dunkl, Yuan Xu. Cambridge ; New York : Cambridge University Press, 2001. 1 online resource (xv, 390 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier Encyclopedia of mathematics and its applications ; volume 81 Includes bibliographical references (pages 372-383) and indexes. 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. "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. Orthogonal polynomials. http://id.loc.gov/authorities/subjects/sh85095794 Functions of several real variables. http://id.loc.gov/authorities/subjects/sh85052359 Polynômes orthogonaux. Fonctions de plusieurs variables réelles. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Functions of several real variables fast Orthogonal polynomials fast Orthogonale Polynome gnd Orthogonale reeksen. gtt Polynômes orthogonaux. ram Fonctions de plusieurs variables réelles. ram Xu, Yuan, 1957- https://id.oclc.org/worldcat/entity/E39PCjtC8fvrQqGfC6G3txTQHK http://id.loc.gov/authorities/names/n94072991 Print version: Dunkl, Charles F., 1941- Orthogonal polynomials of several variables 0521800439 (DLC) 00045433 (OCoLC)44883540 Encyclopedia of mathematics and its applications ; v. 81. http://id.loc.gov/authorities/names/n42010632 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=569278 Volltext |
| spellingShingle | Dunkl, Charles F., 1941- Orthogonal polynomials of several variables / Encyclopedia of mathematics and its applications ; 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. Orthogonal polynomials. http://id.loc.gov/authorities/subjects/sh85095794 Functions of several real variables. http://id.loc.gov/authorities/subjects/sh85052359 Polynômes orthogonaux. Fonctions de plusieurs variables réelles. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Functions of several real variables fast Orthogonal polynomials fast Orthogonale Polynome gnd Orthogonale reeksen. gtt Polynômes orthogonaux. ram Fonctions de plusieurs variables réelles. ram |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85095794 http://id.loc.gov/authorities/subjects/sh85052359 |
| title | Orthogonal polynomials of several variables / |
| title_alt | 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. |
| title_auth | Orthogonal polynomials of several variables / |
| title_exact_search | Orthogonal polynomials of several variables / |
| title_full | Orthogonal polynomials of several variables / Charles F. Dunkl, Yuan Xu. |
| title_fullStr | Orthogonal polynomials of several variables / Charles F. Dunkl, Yuan Xu. |
| title_full_unstemmed | Orthogonal polynomials of several variables / Charles F. Dunkl, Yuan Xu. |
| title_short | Orthogonal polynomials of several variables / |
| title_sort | orthogonal polynomials of several variables |
| topic | Orthogonal polynomials. http://id.loc.gov/authorities/subjects/sh85095794 Functions of several real variables. http://id.loc.gov/authorities/subjects/sh85052359 Polynômes orthogonaux. Fonctions de plusieurs variables réelles. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Functions of several real variables fast Orthogonal polynomials fast Orthogonale Polynome gnd Orthogonale reeksen. gtt Polynômes orthogonaux. ram Fonctions de plusieurs variables réelles. ram |
| topic_facet | Orthogonal polynomials. Functions of several real variables. Polynômes orthogonaux. Fonctions de plusieurs variables réelles. MATHEMATICS Calculus. MATHEMATICS Mathematical Analysis. Functions of several real variables Orthogonal polynomials Orthogonale Polynome Orthogonale reeksen. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=569278 |
| work_keys_str_mv | AT dunklcharlesf orthogonalpolynomialsofseveralvariables AT xuyuan orthogonalpolynomialsofseveralvariables |