Orthogonal polynomials of several variables:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge ; New York
Cambridge University Press
2001
|
| Series: | Encyclopedia of mathematics and its applications
v. 81 |
| Subjects: | |
| Online Access: | FAW01 FAW02 Volltext |
| Item Description: | Description based on print version record |
| Physical Description: | 1 online resource (xv, 390 pages) |
| ISBN: | 0521800439 1107089514 9780521800433 9781107089518 |
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MARC
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| 100 | 1 | |a Dunkl, Charles F. |d 1941- |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Orthogonal polynomials of several variables |c Charles F. Dunkl, Yuan Xu |
| 264 | 1 | |a Cambridge ; New York |b Cambridge University Press |c 2001 | |
| 300 | |a 1 online resource (xv, 390 pages) | ||
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| 490 | 0 | |a Encyclopedia of mathematics and its applications |v v. 81 | |
| 500 | |a Description based on print version record | ||
| 505 | 8 | |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 | |
| 505 | 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."--BOOK JACKET. | |
| 505 | 8 | 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 |
| 650 | 4 | |a groupe symétrie | |
| 650 | 4 | |a fonction poids | |
| 650 | 4 | |a analyse harmonique | |
| 650 | 4 | |a fonction hypergéométrique | |
| 650 | 4 | |a fonction plusieurs variables | |
| 650 | 4 | |a polynôme orthogonal | |
| 650 | 4 | |a Polynômes orthogonaux | |
| 650 | 4 | |a Fonctions de plusieurs variables réelles | |
| 650 | 7 | |a Orthogonale reeksen |2 gtt | |
| 650 | 7 | |a Polynômes orthogonaux |2 ram | |
| 650 | 7 | |a Fonctions de plusieurs variables réelles |2 ram | |
| 650 | 7 | |a Orthogonale Polynome |2 swd | |
| 650 | 7 | |a Functions of several real variables |2 fast | |
| 650 | 7 | |a Orthogonal polynomials |2 fast | |
| 650 | 7 | |a MATHEMATICS / Calculus |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS / Mathematical Analysis |2 bisacsh | |
| 650 | 4 | |a Orthogonal polynomials | |
| 650 | 4 | |a Functions of several real variables | |
| 650 | 0 | 7 | |a Orthogonale Polynome |0 (DE-588)4172863-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Mehrere Variable |0 (DE-588)4277015-4 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Orthogonale Polynome |0 (DE-588)4172863-4 |D s |
| 689 | 0 | 1 | |a Mehrere Variable |0 (DE-588)4277015-4 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 700 | 1 | |a Xu, Yuan |d 1957- |e Sonstige |4 oth | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |a Dunkl, Charles F |t , 1941-. Orthogonal polynomials of several variables |
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Record in the Search Index
| _version_ | 1804175393558626304 |
|---|---|
| any_adam_object | |
| author | Dunkl, Charles F. 1941- |
| author_facet | Dunkl, Charles F. 1941- |
| author_role | aut |
| author_sort | Dunkl, Charles F. 1941- |
| author_variant | c f d cf cfd |
| building | Verbundindex |
| bvnumber | BV043034589 |
| collection | ZDB-4-EBA |
| contents | "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."--BOOK JACKET. 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 (DE-599)BVBBV043034589 |
| dewey-full | 515/.55 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.55 |
| dewey-search | 515/.55 |
| dewey-sort | 3515 255 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV043034589 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:15:35Z |
| institution | BVB |
| isbn | 0521800439 1107089514 9780521800433 9781107089518 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028459239 |
| oclc_num | 861692872 |
| open_access_boolean | |
| owner | DE-1046 DE-1047 |
| owner_facet | DE-1046 DE-1047 |
| physical | 1 online resource (xv, 390 pages) |
| psigel | ZDB-4-EBA ZDB-4-EBA FAW_PDA_EBA |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Encyclopedia of mathematics and its applications |
| spelling | Dunkl, Charles F. 1941- Verfasser aut Orthogonal polynomials of several variables Charles F. Dunkl, Yuan Xu Cambridge ; New York Cambridge University Press 2001 1 online resource (xv, 390 pages) txt rdacontent c rdamedia cr rdacarrier Encyclopedia of mathematics and its applications v. 81 Description based on print version record "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."--BOOK JACKET. 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 groupe symétrie fonction poids analyse harmonique fonction hypergéométrique fonction plusieurs variables polynôme orthogonal Polynômes orthogonaux Fonctions de plusieurs variables réelles Orthogonale reeksen gtt Polynômes orthogonaux ram Fonctions de plusieurs variables réelles ram Orthogonale Polynome swd Functions of several real variables fast Orthogonal polynomials fast MATHEMATICS / Calculus bisacsh MATHEMATICS / Mathematical Analysis bisacsh Orthogonal polynomials Functions of several real variables Orthogonale Polynome (DE-588)4172863-4 gnd rswk-swf Mehrere Variable (DE-588)4277015-4 gnd rswk-swf Orthogonale Polynome (DE-588)4172863-4 s Mehrere Variable (DE-588)4277015-4 s 1\p DE-604 Xu, Yuan 1957- Sonstige oth Erscheint auch als Druck-Ausgabe Dunkl, Charles F , 1941-. Orthogonal polynomials of several variables http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=569278 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Dunkl, Charles F. 1941- 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 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."--BOOK JACKET. 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 groupe symétrie fonction poids analyse harmonique fonction hypergéométrique fonction plusieurs variables polynôme orthogonal Polynômes orthogonaux Fonctions de plusieurs variables réelles Orthogonale reeksen gtt Polynômes orthogonaux ram Fonctions de plusieurs variables réelles ram Orthogonale Polynome swd Functions of several real variables fast Orthogonal polynomials fast MATHEMATICS / Calculus bisacsh MATHEMATICS / Mathematical Analysis bisacsh Orthogonal polynomials Functions of several real variables Orthogonale Polynome (DE-588)4172863-4 gnd Mehrere Variable (DE-588)4277015-4 gnd |
| subject_GND | (DE-588)4172863-4 (DE-588)4277015-4 |
| 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 | groupe symétrie fonction poids analyse harmonique fonction hypergéométrique fonction plusieurs variables polynôme orthogonal Polynômes orthogonaux Fonctions de plusieurs variables réelles Orthogonale reeksen gtt Polynômes orthogonaux ram Fonctions de plusieurs variables réelles ram Orthogonale Polynome swd Functions of several real variables fast Orthogonal polynomials fast MATHEMATICS / Calculus bisacsh MATHEMATICS / Mathematical Analysis bisacsh Orthogonal polynomials Functions of several real variables Orthogonale Polynome (DE-588)4172863-4 gnd Mehrere Variable (DE-588)4277015-4 gnd |
| topic_facet | groupe symétrie fonction poids analyse harmonique fonction hypergéométrique fonction plusieurs variables polynôme orthogonal Polynômes orthogonaux Fonctions de plusieurs variables réelles Orthogonale reeksen Orthogonale Polynome Functions of several real variables Orthogonal polynomials MATHEMATICS / Calculus MATHEMATICS / Mathematical Analysis Mehrere Variable |
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