Orthogonal polynomials of several variables
Serving both as an introduction to the subject and as a reference, this book presents the theory in elegant form and with modern concepts and notation. It covers the general theory and emphasizes the classical types of orthogonal polynomials whose weight functions are supported on standard domains....
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| Format: | E-Book |
| Sprache: | English |
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Cambridge
Cambridge University Press
2014
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| Ausgabe: | Second edition. |
| Schriftenreihe: | Encyclopedia of mathematics and its applications
volume 155 |
| Online-Zugang: | Volltext |
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| 100 | 1 | |a Dunkl, Charles F. |d 1941- | |
| 245 | 1 | 0 | |a Orthogonal polynomials of several variables |c Charles F. Dunkl, University of Virginia, Yuan Xu, University of Oregon |
| 250 | |a Second edition. | ||
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2014 | |
| 300 | |a 1 Online-Ressource (xvii, 420 Seiten) | ||
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| 490 | 1 | |a Encyclopedia of mathematics and its applications |v volume 155 | |
| 520 | |a Serving both as an introduction to the subject and as a reference, this book presents the theory in elegant form and with modern concepts and notation. It covers the general theory and emphasizes the classical types of orthogonal polynomials whose weight functions are supported on standard domains. The approach is a blend of classical analysis and symmetry group theoretic methods. Finite reflection groups are used to motivate and classify symmetries of weight functions and the associated polynomials. This revised edition has been updated throughout to reflect recent developments in the field. It contains 25% new material, including two brand new chapters on orthogonal polynomials in two variables, which will be especially useful for applications, and orthogonal polynomials on the unit sphere. The most modern and complete treatment of the subject available, it will be useful to a wide audience of mathematicians and applied scientists, including physicists, chemists and engineers. | ||
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| isbn | 9781107786134 |
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| series2 | Encyclopedia of mathematics and its applications |
| spelling | Dunkl, Charles F. 1941- Orthogonal polynomials of several variables Charles F. Dunkl, University of Virginia, Yuan Xu, University of Oregon Second edition. Cambridge Cambridge University Press 2014 1 Online-Ressource (xvii, 420 Seiten) txt c cr Encyclopedia of mathematics and its applications volume 155 Serving both as an introduction to the subject and as a reference, this book presents the theory in elegant form and with modern concepts and notation. It covers the general theory and emphasizes the classical types of orthogonal polynomials whose weight functions are supported on standard domains. The approach is a blend of classical analysis and symmetry group theoretic methods. Finite reflection groups are used to motivate and classify symmetries of weight functions and the associated polynomials. This revised edition has been updated throughout to reflect recent developments in the field. It contains 25% new material, including two brand new chapters on orthogonal polynomials in two variables, which will be especially useful for applications, and orthogonal polynomials on the unit sphere. The most modern and complete treatment of the subject available, it will be useful to a wide audience of mathematicians and applied scientists, including physicists, chemists and engineers. Xu, Yuan 1957- Erscheint auch als Druck-Ausgabe 9781107071896 TUM01 ZDB-20-CTM TUM_PDA_CTM https://doi.org/10.1017/CBO9781107786134 Volltext |
| spellingShingle | Dunkl, Charles F. 1941- Orthogonal polynomials of several variables |
| title | Orthogonal polynomials of several variables |
| 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, University of Virginia, Yuan Xu, University of Oregon |
| title_fullStr | Orthogonal polynomials of several variables Charles F. Dunkl, University of Virginia, Yuan Xu, University of Oregon |
| title_full_unstemmed | Orthogonal polynomials of several variables Charles F. Dunkl, University of Virginia, Yuan Xu, University of Oregon |
| title_short | Orthogonal polynomials of several variables |
| title_sort | orthogonal polynomials of several variables |
| url | https://doi.org/10.1017/CBO9781107786134 |
| work_keys_str_mv | AT dunklcharlesf orthogonalpolynomialsofseveralvariables AT xuyuan orthogonalpolynomialsofseveralvariables |