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Record Nr. |
UNINA9910783110403321 |
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Autore |
Macdonald I. G (Ian Grant) |
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Titolo |
Affine Hecke algebras and orthogonal polynomials / / I.G. Macdoald [[electronic resource]] |
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Pubbl/distr/stampa |
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Cambridge : , : Cambridge University Press, , 2003 |
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ISBN |
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1-107-13745-4 |
1-280-43672-7 |
9786610436729 |
0-511-17917-0 |
1-139-14905-9 |
0-511-05602-8 |
0-511-30622-9 |
0-511-54282-8 |
0-511-07081-0 |
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Descrizione fisica |
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1 online resource (ix, 175 pages) : digital, PDF file(s) |
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Collana |
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Cambridge tracts in mathematics ; ; 157 |
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Disciplina |
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Soggetti |
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Hecke algebras |
Orthogonal polynomials |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Title from publisher's bibliographic system (viewed on 05 Oct 2015). |
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Nota di bibliografia |
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Includes bibliographical references (p. 170-172) and index. |
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Nota di contenuto |
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Introduction -- Affine root systems -- The extended affine Weyl group -- The braid group -- The affine Hecke algebra -- Orthogonal polynomials -- The rank 1 case -- Bibliography -- Index. |
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Sommario/riassunto |
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In recent years there has developed a satisfactory and coherent theory of orthogonal polynomials in several variables, attached to root systems, and depending on two or more parameters. These polynomials include as special cases: symmetric functions; zonal spherical functions on real and p-adic reductive Lie groups; the Jacobi polynomials of Heckman and Opdam; and the Askey-Wilson polynomials, which themselves include as special or limiting cases all the classical families of orthogonal polynomials in one variable. This book, first published in 2003, is a comprehensive and organised account of the subject aims to provide a unified foundation for this |
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