Discrete orthogonal polynomials: asymptotics and applications
Gespeichert in:
| Format: | Elektronisch E-Book |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Princeton
Princeton University Press
©2007
|
| Schriftenreihe: | Annals of mathematics studies
no. 164 |
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002 Includes bibliographical references (pages 163-166) and index Asymptotics of General Discrete Orthogonal Polynomials in the Complex Plane -- Applications -- An Equivalent Riemann-Hilbert Problem -- Asymptotic Analysis -- Discrete Orthogonal Polynomials: Proofs of Theorems Stated in 2.3 -- Universality: Proofs of Theorems Stated in 3.3 "This book describes the theory and applications of discrete orthogonal polynomials - polynomials that are orthogonal on a finite set. Unlike other books, Discrete Orthogonal Polynomials addresses completely general weight functions and presents a new methodology for handling the discrete weights case." "J. Baik, T. Kriecherbauer, K.T.-R. McLaughlin & P.D. Miller focus on asymptotic aspects of general, nonclassical discrete orthogonal polynomials and set out applications of current interest. Topics covered include the probability theory of discrete orthogonal polynomial ensembles and the continuum limit of the Toda lattice. The primary concern throughout is the asymptotic behavior of discrete orthogonal polynomials for general, nonclassical measures, in the joint limit where the degree increases as some fraction of the total number of points of collocation. The book formulates the orthogonality conditions defining these polynomials as a kind of Riemann-Hilbert problem and then generalizes the steepest descent method for such a problem to carry out the necessary asymptotic analysis."--Jacket |
| Beschreibung: | 1 Online-Ressource (vi, 170 pages) |
| ISBN: | 0691127336 0691127344 1400837138 9780691127330 9780691127347 9781400837137 |
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| 490 | 0 | |a Annals of mathematics studies |v no. 164 | |
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| 500 | |a Includes bibliographical references (pages 163-166) and index | ||
| 500 | |a Asymptotics of General Discrete Orthogonal Polynomials in the Complex Plane -- Applications -- An Equivalent Riemann-Hilbert Problem -- Asymptotic Analysis -- Discrete Orthogonal Polynomials: Proofs of Theorems Stated in 2.3 -- Universality: Proofs of Theorems Stated in 3.3 | ||
| 500 | |a "This book describes the theory and applications of discrete orthogonal polynomials - polynomials that are orthogonal on a finite set. Unlike other books, Discrete Orthogonal Polynomials addresses completely general weight functions and presents a new methodology for handling the discrete weights case." "J. Baik, T. Kriecherbauer, K.T.-R. McLaughlin & P.D. Miller focus on asymptotic aspects of general, nonclassical discrete orthogonal polynomials and set out applications of current interest. Topics covered include the probability theory of discrete orthogonal polynomial ensembles and the continuum limit of the Toda lattice. The primary concern throughout is the asymptotic behavior of discrete orthogonal polynomials for general, nonclassical measures, in the joint limit where the degree increases as some fraction of the total number of points of collocation. The book formulates the orthogonality conditions defining these polynomials as a kind of Riemann-Hilbert problem and then generalizes the steepest descent method for such a problem to carry out the necessary asymptotic analysis."--Jacket | ||
| 650 | 4 | |a Polynômes orthogonaux / Théorie asymptotique | |
| 650 | 7 | |a MATHEMATICS / Calculus |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS / Mathematical Analysis |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS / Discrete Mathematics |2 bisacsh | |
| 650 | 7 | |a Orthogonal polynomials / Asymptotic theory |2 fast | |
| 650 | 7 | |a Orthogonale Polynome |2 swd | |
| 650 | 7 | |a Asymptotik |2 swd | |
| 650 | 4 | |a Orthogonal polynomials |x Asymptotic theory | |
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Datensatz im Suchindex
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| dewey-search | 515/.55 |
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| discipline | Mathematik |
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| id | DE-604.BV043055609 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:16:06Z |
| institution | BVB |
| isbn | 0691127336 0691127344 1400837138 9780691127330 9780691127347 9781400837137 |
| language | English |
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| owner_facet | DE-1046 DE-1047 |
| physical | 1 Online-Ressource (vi, 170 pages) |
| psigel | ZDB-4-EBA ZDB-4-EBA FAW_PDA_EBA |
| publishDate | 2007 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| publisher | Princeton University Press |
| record_format | marc |
| series2 | Annals of mathematics studies |
| spelling | Discrete orthogonal polynomials asymptotics and applications J. Baik [and others] Princeton Princeton University Press ©2007 1 Online-Ressource (vi, 170 pages) txt rdacontent c rdamedia cr rdacarrier Annals of mathematics studies no. 164 Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002 Includes bibliographical references (pages 163-166) and index Asymptotics of General Discrete Orthogonal Polynomials in the Complex Plane -- Applications -- An Equivalent Riemann-Hilbert Problem -- Asymptotic Analysis -- Discrete Orthogonal Polynomials: Proofs of Theorems Stated in 2.3 -- Universality: Proofs of Theorems Stated in 3.3 "This book describes the theory and applications of discrete orthogonal polynomials - polynomials that are orthogonal on a finite set. Unlike other books, Discrete Orthogonal Polynomials addresses completely general weight functions and presents a new methodology for handling the discrete weights case." "J. Baik, T. Kriecherbauer, K.T.-R. McLaughlin & P.D. Miller focus on asymptotic aspects of general, nonclassical discrete orthogonal polynomials and set out applications of current interest. Topics covered include the probability theory of discrete orthogonal polynomial ensembles and the continuum limit of the Toda lattice. The primary concern throughout is the asymptotic behavior of discrete orthogonal polynomials for general, nonclassical measures, in the joint limit where the degree increases as some fraction of the total number of points of collocation. The book formulates the orthogonality conditions defining these polynomials as a kind of Riemann-Hilbert problem and then generalizes the steepest descent method for such a problem to carry out the necessary asymptotic analysis."--Jacket Polynômes orthogonaux / Théorie asymptotique MATHEMATICS / Calculus bisacsh MATHEMATICS / Mathematical Analysis bisacsh MATHEMATICS / Discrete Mathematics bisacsh Orthogonal polynomials / Asymptotic theory fast Orthogonale Polynome swd Asymptotik swd Orthogonal polynomials Asymptotic theory Asymptotik (DE-588)4126634-1 gnd rswk-swf Orthogonale Polynome (DE-588)4172863-4 gnd rswk-swf Orthogonale Polynome (DE-588)4172863-4 s Asymptotik (DE-588)4126634-1 s 1\p DE-604 Baik, Jinho Sonstige oth http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=544759 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Discrete orthogonal polynomials asymptotics and applications Polynômes orthogonaux / Théorie asymptotique MATHEMATICS / Calculus bisacsh MATHEMATICS / Mathematical Analysis bisacsh MATHEMATICS / Discrete Mathematics bisacsh Orthogonal polynomials / Asymptotic theory fast Orthogonale Polynome swd Asymptotik swd Orthogonal polynomials Asymptotic theory Asymptotik (DE-588)4126634-1 gnd Orthogonale Polynome (DE-588)4172863-4 gnd |
| subject_GND | (DE-588)4126634-1 (DE-588)4172863-4 |
| title | Discrete orthogonal polynomials asymptotics and applications |
| title_auth | Discrete orthogonal polynomials asymptotics and applications |
| title_exact_search | Discrete orthogonal polynomials asymptotics and applications |
| title_full | Discrete orthogonal polynomials asymptotics and applications J. Baik [and others] |
| title_fullStr | Discrete orthogonal polynomials asymptotics and applications J. Baik [and others] |
| title_full_unstemmed | Discrete orthogonal polynomials asymptotics and applications J. Baik [and others] |
| title_short | Discrete orthogonal polynomials |
| title_sort | discrete orthogonal polynomials asymptotics and applications |
| title_sub | asymptotics and applications |
| topic | Polynômes orthogonaux / Théorie asymptotique MATHEMATICS / Calculus bisacsh MATHEMATICS / Mathematical Analysis bisacsh MATHEMATICS / Discrete Mathematics bisacsh Orthogonal polynomials / Asymptotic theory fast Orthogonale Polynome swd Asymptotik swd Orthogonal polynomials Asymptotic theory Asymptotik (DE-588)4126634-1 gnd Orthogonale Polynome (DE-588)4172863-4 gnd |
| topic_facet | Polynômes orthogonaux / Théorie asymptotique MATHEMATICS / Calculus MATHEMATICS / Mathematical Analysis MATHEMATICS / Discrete Mathematics Orthogonal polynomials / Asymptotic theory Orthogonale Polynome Asymptotik Orthogonal polynomials Asymptotic theory |
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