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Affine Hecke algebras and orthogonal polynomials / / I.G. Macdoald [[electronic resource]]
| Affine Hecke algebras and orthogonal polynomials / / I.G. Macdoald [[electronic resource]] |
| Autore | Macdonald I. G (Ian Grant) |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2003 |
| Descrizione fisica | 1 online resource (ix, 175 pages) : digital, PDF file(s) |
| Disciplina | 512/.55 |
| Collana | Cambridge tracts in mathematics |
| Soggetto topico |
Hecke algebras
Orthogonal polynomials |
| ISBN |
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 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction -- Affine root systems -- The extended affine Weyl group -- The braid group -- The affine Hecke algebra -- Orthogonal polynomials -- The rank 1 case -- Bibliography -- Index. |
| Altri titoli varianti | Affine Hecke Algebras & Orthogonal Polynomials |
| Record Nr. | UNINA-9910450042303321 |
Macdonald I. G (Ian Grant)
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| Cambridge : , : Cambridge University Press, , 2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Affine Hecke algebras and orthogonal polynomials / / I.G. Macdoald [[electronic resource]]
| Affine Hecke algebras and orthogonal polynomials / / I.G. Macdoald [[electronic resource]] |
| Autore | Macdonald I. G (Ian Grant) |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2003 |
| Descrizione fisica | 1 online resource (ix, 175 pages) : digital, PDF file(s) |
| Disciplina | 512/.55 |
| Collana | Cambridge tracts in mathematics |
| Soggetto topico |
Hecke algebras
Orthogonal polynomials |
| ISBN |
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 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction -- Affine root systems -- The extended affine Weyl group -- The braid group -- The affine Hecke algebra -- Orthogonal polynomials -- The rank 1 case -- Bibliography -- Index. |
| Altri titoli varianti | Affine Hecke Algebras & Orthogonal Polynomials |
| Record Nr. | UNINA-9910783110403321 |
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Macdonald I. G (Ian Grant)
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| Cambridge : , : Cambridge University Press, , 2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Affine Hecke algebras and orthogonal polynomials / I. G. Macdonald
| Affine Hecke algebras and orthogonal polynomials / I. G. Macdonald |
| Autore | Macdonald, Ian Grant |
| Pubbl/distr/stampa | Cambridge ; New York : Cambridge University Press, 2003 |
| Descrizione fisica | ix, 175 p. ; 24 cm |
| Disciplina | 512.55 |
| Collana | Cambridge tracts in mathematics ; 157 |
| Soggetto topico |
Hecke algebras
Orthogonal polynomials |
| ISBN | 0521824729 |
| Classificazione |
AMS 33D52
AMS 20C08 AMS 33-02 LC QA174.2.M28 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000834999707536 |
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Macdonald, Ian Grant
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| Cambridge ; New York : Cambridge University Press, 2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Asymptotics for orthogonal polynomials / Walter van Assche
| Asymptotics for orthogonal polynomials / Walter van Assche |
| Autore | Assche, Walter : van |
| Pubbl/distr/stampa | Berlin-Heidelberg : Springer-Verlag, 1987 |
| Descrizione fisica | vi, 201 p. ; 24 cm. |
| Disciplina | 511.4 |
| Collana | Lecture notes in mathematics, 0075-8434 ; 1265 |
| Soggetto topico |
Fourier analysis
Nontrigonometric Fourier analysis Orthogonal polynomials |
| ISBN | 3540180230 |
| Classificazione |
AMS 33A65 (1985)
AMS 39A10 AMS 40A15 AMS 40A30 AMS 41A55 AMS 41A60 AMS 42C AMS 42C05 AMS 60J80 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | en |
| Record Nr. | UNISALENTO-991000705009707536 |
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Assche, Walter : van
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| Berlin-Heidelberg : Springer-Verlag, 1987 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Bounded Littlewood Identities
| Bounded Littlewood Identities |
| Autore | Rains Eric M |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 2021 |
| Descrizione fisica | 1 online resource (129 pages) |
| Disciplina | 515/.55 |
| Altri autori (Persone) | WarnaarS. Ole |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Orthogonal polynomials
Combinatorial identities Combinatorics -- Algebraic combinatorics -- Symmetric functions and generalizations Combinatorics -- Algebraic combinatorics -- Combinatorial aspects of representation theory Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras Special functions -- Basic hypergeometric functions -- Basic hypergeometric functions associated with root systems |
| ISBN |
9781470465223
1470465221 |
| Classificazione | 05E0505E1017B6733D67 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Cover -- Title page -- Acknowledgements -- Chapter 1. Introduction -- 1.1. Littlewood identities -- 1.2. Outline -- Chapter 2. Macdonald-Koornwinder theory -- 2.1. Partitions -- 2.2. Generalised -shifted factorials -- 2.3. Rogers-Szegő polynomials -- 2.4. Plethystic notation -- 2.5. Macdonald polynomials -- 2.6. Koornwinder polynomials -- 2.7. Macdonald-Koornwinder polynomials -- 2.8. Hall-Littlewood polynomials -- Chapter 3. Virtual Koornwinder integrals -- 3.1. Basic definitions -- 3.2. Closed-form evaluations-the Macdonald case -- 3.3. Closed-form evaluations-the Hall-Littlewood case -- Chapter 4. Bounded Littlewood identities -- 4.1. Statement of results -- 4.2. Proofs of Theorems 4.1-4.8 -- Chapter 5. Applications -- 5.1. Plane partitions -- 5.2. Character identities for affine Lie algebras -- 5.3. Rogers-Ramanujan identities -- 5.4. Quadratic transformations for Kaneko-Macdonald-type basic hypergeometric series -- Chapter 6. Open problems -- 6.1. Missing -analogues -- 6.2. Littlewood identities for near-rectangular partitions -- 6.3. Littlewood identities of Pfaffian type -- 6.4. Elliptic Littlewood identities -- 6.5. , -Littlewood-Richardson coefficients -- 6.6. Dyson-Macdonald-type identities -- Appendix A. The Weyl-Kac formula -- Appendix B. Limits of elliptic hypergeometric integrals -- Bibliography -- Back Cover. |
| Record Nr. | UNINA-9910957044203321 |
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Rains Eric M
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| Providence : , : American Mathematical Society, , 2021 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Christoffel functions and orthogonal polynomials for exponential weights on [₋1, 1] / / A. L. Levin, D. S. Lubinsky
| Christoffel functions and orthogonal polynomials for exponential weights on [₋1, 1] / / A. L. Levin, D. S. Lubinsky |
| Autore | Levin A. L. <1944-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1994 |
| Descrizione fisica | 1 online resource (166 p.) |
| Disciplina | 515/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Orthogonal polynomials
Christoffel-Darboux formula Convergence |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0114-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Table of Contents""; ""Â1. Introduction and Results""; ""Definition 1.1: The class W""; ""Theorem 1.2: Christoffel Functions""; ""Corollary 1.3: Sup-Norms of Christoffel Functions""; ""Corollary 1.4: Zeros""; ""Corollary 1.5: Bounds on Orthonormal Polynomials""; ""Theorem 1.6: Sup-Norm Christoffel Functions""; ""Theorem 1.7: Restricted Range Inequalities""; ""Theorem 1.8: L[sub(p)] Norms of Orthonormal Polynomials""; ""Â2. Some Ideas Behind the Proofs""; ""I. An Orthogonal Polynomial Angle""; ""II. The Potential Theory Side: Lower Bounds for λ[sub(n)]""
""Proof of Theorem 4.2""""Proof of Theorem 4.3 (b)""; ""Proof of Theorem 4.3 (a)""; ""Â5. Majorization Functions and Integral Equations""; ""Lemma 5.1: Old Potential Theory/Integral Equations""; ""Lemma 5.2: Estimates for B[sub(n,R)],v[sub(n,R)]""; ""Theorem 5.3: Estimates for U[sub(n,R)]""; ""Â6. The Proof of Theorem 1.7""; ""Lemma 6.1: L[sub(p)] Bounds for Weighted Polynomials""; ""Proof of Theorem 1.7""; ""Â7. Lower Bounds for λ[sub(n)]""; ""Theorem 7.1: Lower Bounds for Î?[sub(n)]""; ""Lemma 7.2: Preliminary Lower Bounds""; ""Proof of Theorem 7.1"" ""Â8. Discretisation of a Potential: Theorem 1.6""""Theorem 8.1: One Point Polynomials""; ""Deduction of Theorem 1.6""; ""Theorem 8.2: The Bounds for Î?[sub(n)]""; ""Deduction of Theorem 8.1""; ""Lemma 8.3: Estimates for the discretisation points""; ""Lemma 8.4: Estimates for S[sub(1)]+[sub(4)]""; ""Lemma 8.5: Estimates for Î?[sub(j)]""; ""Lemma 8.6: Estimates for Ï?[sub(j)]""; ""Lemma 8.7: Estimates for S[sub(21)]""; ""Lemma 8.8: Lower Bounds for S[sub(2)]""; ""Lemma 8.9: Upper Bounds for S[sub(2)]""; ""Lemma 8.10: Bounds for S[sub(3)]""; ""Proof of Theorem 8.2"" ""Lemma 11.5: An Estimate for I[sub(3)]"" |
| Record Nr. | UNINA-9910480612003321 |
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Levin A. L. <1944->
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| Providence, Rhode Island : , : American Mathematical Society, , 1994 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Christoffel functions and orthogonal polynomials for exponential weights on [₋1, 1] / / A. L. Levin, D. S. Lubinsky
| Christoffel functions and orthogonal polynomials for exponential weights on [₋1, 1] / / A. L. Levin, D. S. Lubinsky |
| Autore | Levin A. L. <1944-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1994 |
| Descrizione fisica | 1 online resource (166 p.) |
| Disciplina | 515/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Orthogonal polynomials
Christoffel-Darboux formula Convergence |
| ISBN | 1-4704-0114-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Table of Contents""; ""Â1. Introduction and Results""; ""Definition 1.1: The class W""; ""Theorem 1.2: Christoffel Functions""; ""Corollary 1.3: Sup-Norms of Christoffel Functions""; ""Corollary 1.4: Zeros""; ""Corollary 1.5: Bounds on Orthonormal Polynomials""; ""Theorem 1.6: Sup-Norm Christoffel Functions""; ""Theorem 1.7: Restricted Range Inequalities""; ""Theorem 1.8: L[sub(p)] Norms of Orthonormal Polynomials""; ""Â2. Some Ideas Behind the Proofs""; ""I. An Orthogonal Polynomial Angle""; ""II. The Potential Theory Side: Lower Bounds for λ[sub(n)]""
""Proof of Theorem 4.2""""Proof of Theorem 4.3 (b)""; ""Proof of Theorem 4.3 (a)""; ""Â5. Majorization Functions and Integral Equations""; ""Lemma 5.1: Old Potential Theory/Integral Equations""; ""Lemma 5.2: Estimates for B[sub(n,R)],v[sub(n,R)]""; ""Theorem 5.3: Estimates for U[sub(n,R)]""; ""Â6. The Proof of Theorem 1.7""; ""Lemma 6.1: L[sub(p)] Bounds for Weighted Polynomials""; ""Proof of Theorem 1.7""; ""Â7. Lower Bounds for λ[sub(n)]""; ""Theorem 7.1: Lower Bounds for Î?[sub(n)]""; ""Lemma 7.2: Preliminary Lower Bounds""; ""Proof of Theorem 7.1"" ""Â8. Discretisation of a Potential: Theorem 1.6""""Theorem 8.1: One Point Polynomials""; ""Deduction of Theorem 1.6""; ""Theorem 8.2: The Bounds for Î?[sub(n)]""; ""Deduction of Theorem 8.1""; ""Lemma 8.3: Estimates for the discretisation points""; ""Lemma 8.4: Estimates for S[sub(1)]+[sub(4)]""; ""Lemma 8.5: Estimates for Î?[sub(j)]""; ""Lemma 8.6: Estimates for Ï?[sub(j)]""; ""Lemma 8.7: Estimates for S[sub(21)]""; ""Lemma 8.8: Lower Bounds for S[sub(2)]""; ""Lemma 8.9: Upper Bounds for S[sub(2)]""; ""Lemma 8.10: Bounds for S[sub(3)]""; ""Proof of Theorem 8.2"" ""Lemma 11.5: An Estimate for I[sub(3)]"" |
| Record Nr. | UNINA-9910788755403321 |
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Levin A. L. <1944->
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||
| Providence, Rhode Island : , : American Mathematical Society, , 1994 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Christoffel functions and orthogonal polynomials for exponential weights on [₋1, 1] / / A. L. Levin, D. S. Lubinsky
| Christoffel functions and orthogonal polynomials for exponential weights on [₋1, 1] / / A. L. Levin, D. S. Lubinsky |
| Autore | Levin A. L. <1944-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1994 |
| Descrizione fisica | 1 online resource (166 p.) |
| Disciplina | 515/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Orthogonal polynomials
Christoffel-Darboux formula Convergence |
| ISBN | 1-4704-0114-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Table of Contents""; ""Â1. Introduction and Results""; ""Definition 1.1: The class W""; ""Theorem 1.2: Christoffel Functions""; ""Corollary 1.3: Sup-Norms of Christoffel Functions""; ""Corollary 1.4: Zeros""; ""Corollary 1.5: Bounds on Orthonormal Polynomials""; ""Theorem 1.6: Sup-Norm Christoffel Functions""; ""Theorem 1.7: Restricted Range Inequalities""; ""Theorem 1.8: L[sub(p)] Norms of Orthonormal Polynomials""; ""Â2. Some Ideas Behind the Proofs""; ""I. An Orthogonal Polynomial Angle""; ""II. The Potential Theory Side: Lower Bounds for λ[sub(n)]""
""Proof of Theorem 4.2""""Proof of Theorem 4.3 (b)""; ""Proof of Theorem 4.3 (a)""; ""Â5. Majorization Functions and Integral Equations""; ""Lemma 5.1: Old Potential Theory/Integral Equations""; ""Lemma 5.2: Estimates for B[sub(n,R)],v[sub(n,R)]""; ""Theorem 5.3: Estimates for U[sub(n,R)]""; ""Â6. The Proof of Theorem 1.7""; ""Lemma 6.1: L[sub(p)] Bounds for Weighted Polynomials""; ""Proof of Theorem 1.7""; ""Â7. Lower Bounds for λ[sub(n)]""; ""Theorem 7.1: Lower Bounds for Î?[sub(n)]""; ""Lemma 7.2: Preliminary Lower Bounds""; ""Proof of Theorem 7.1"" ""Â8. Discretisation of a Potential: Theorem 1.6""""Theorem 8.1: One Point Polynomials""; ""Deduction of Theorem 1.6""; ""Theorem 8.2: The Bounds for Î?[sub(n)]""; ""Deduction of Theorem 8.1""; ""Lemma 8.3: Estimates for the discretisation points""; ""Lemma 8.4: Estimates for S[sub(1)]+[sub(4)]""; ""Lemma 8.5: Estimates for Î?[sub(j)]""; ""Lemma 8.6: Estimates for Ï?[sub(j)]""; ""Lemma 8.7: Estimates for S[sub(21)]""; ""Lemma 8.8: Lower Bounds for S[sub(2)]""; ""Lemma 8.9: Upper Bounds for S[sub(2)]""; ""Lemma 8.10: Bounds for S[sub(3)]""; ""Proof of Theorem 8.2"" ""Lemma 11.5: An Estimate for I[sub(3)]"" |
| Record Nr. | UNINA-9910806186303321 |
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Levin A. L. <1944->
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| Providence, Rhode Island : , : American Mathematical Society, , 1994 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Classical and quantum orthogonal polynomials in one variable / Mourad E. H. Ismail ; with two chapters by Walter van Assche
| Classical and quantum orthogonal polynomials in one variable / Mourad E. H. Ismail ; with two chapters by Walter van Assche |
| Autore | Ismail, Mourad E. H. |
| Pubbl/distr/stampa | Cambridge : Cambridge University Press, 2005 |
| Descrizione fisica | xviii, 706 p. ; 24 cm |
| Disciplina | 515.55 |
| Altri autori (Persone) | Assche, Walter : van |
| Collana | Encyclopedia of mathematics and its applications ; 98 |
| Soggetto topico | Orthogonal polynomials |
| ISBN | 0521782015 |
| Classificazione |
AMS 33C45
AMS 42C05 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001393179707536 |
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Ismail, Mourad E. H.
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| Cambridge : Cambridge University Press, 2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Common zeros of polynomials in several variables and higher dimensional quadrature / Yuan Xu
| Common zeros of polynomials in several variables and higher dimensional quadrature / Yuan Xu |
| Autore | Xu, Yuan |
| Pubbl/distr/stampa | Harlow : Longman Scientific & Technical ; New York : John Wiley, 1994 |
| Descrizione fisica | 119 p. : ill. ; 25 cm. |
| Disciplina | 519.4 |
| Collana | Pitman research notes in mathematics series, ISSN 02693674 ; 312 |
| Soggetto topico |
Functions of several real variables
Gaussian quadrature formulas Orthogonal polynomials |
| ISBN | 0582246709 |
| Classificazione | AMS 65D32 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000760319707536 |
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Xu, Yuan
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| Harlow : Longman Scientific & Technical ; New York : John Wiley, 1994 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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