Discrete orthogonal polynomials :: asymptotics and applications /
"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 weigh...
Gespeichert in:
| Weitere Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton :
Princeton University Press,
©2007.
|
| Schriftenreihe: | Annals of mathematics studies ;
no. 164. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | "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 resource (vi, 170 pages :) |
| Format: | 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. |
| Bibliographie: | Includes bibliographical references (pages 163-166) and index. |
| ISBN: | 9781400837137 1400837138 1299224121 9781299224124 |
Internformat
MARC
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| 245 | 0 | 0 | |a Discrete orthogonal polynomials : |b asymptotics and applications / |c J. Baik [and others]. |
| 260 | |a Princeton : |b Princeton University Press, |c ©2007. | ||
| 300 | |a 1 online resource (vi, 170 pages :) | ||
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| 490 | 1 | |a Annals of mathematics studies ; |v no. 164 | |
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| 505 | 0 | |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. | |
| 520 | 1 | |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. | |
| 506 | |3 Use copy |f Restrictions unspecified |2 star |5 MiAaHDL | ||
| 533 | |a Electronic reproduction. |b [Place of publication not identified] : |c HathiTrust Digital Library, |d 2011. |5 MiAaHDL | ||
| 538 | |a 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. |u http://purl.oclc.org/DLF/benchrepro0212 |5 MiAaHDL | ||
| 583 | 1 | |a digitized |c 2011 |h HathiTrust Digital Library |l committed to preserve |2 pda |5 MiAaHDL | |
| 546 | |a In English. | ||
| 650 | 0 | |a Orthogonal polynomials |x Asymptotic theory. |0 http://id.loc.gov/authorities/subjects/sh87003637 | |
| 650 | 6 | |a Polynômes orthogonaux |x Théorie asymptotique. | |
| 650 | 7 | |a MATHEMATICS |x Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Mathematical Analysis. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Discrete Mathematics. |2 bisacsh | |
| 650 | 7 | |a Orthogonal polynomials |x Asymptotic theory |2 fast | |
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| 650 | 7 | |a Orthogonal polynomials |x Asymptotic theory. |2 nli | |
| 650 | 7 | |a Asymptotes. |2 nli | |
| 700 | 1 | |a Baik, Jinho, |d 1973- |1 https://id.oclc.org/worldcat/entity/E39PCjqBJVBrJYKxRdxGKpXtyq | |
| 776 | 0 | 8 | |i Print version: |t Discrete orthogonal polynomials. |d Princeton : Princeton University Press, 2007 |z 9780691127330 |w (DLC) 2006050587 |w (OCoLC)71006840 |
| 830 | 0 | |a Annals of mathematics studies ; |v no. 164. | |
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Datensatz im Suchindex
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| _version_ | 1813903435529977856 |
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| author2 | Baik, Jinho, 1973- |
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| author_facet | Baik, Jinho, 1973- |
| author_sort | Baik, Jinho, 1973- |
| building | Verbundindex |
| bvnumber | localFWS |
| callnumber-first | Q - Science |
| callnumber-label | QA404 |
| callnumber-raw | QA404.5 .D57 2007 |
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| collection | ZDB-4-EBA |
| contents | 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. |
| ctrlnum | (OCoLC)793400543 |
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| 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 | ZDB-4-EBA-ocn793400543 |
| illustrated | Illustrated |
| indexdate | 2024-10-25T16:18:38Z |
| institution | BVB |
| isbn | 9781400837137 1400837138 1299224121 9781299224124 |
| language | English |
| oclc_num | 793400543 |
| open_access_boolean | |
| owner | MAIN |
| owner_facet | MAIN |
| physical | 1 online resource (vi, 170 pages :) |
| psigel | ZDB-4-EBA |
| publishDate | 2007 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| publisher | Princeton University Press, |
| record_format | marc |
| series | Annals of mathematics studies ; |
| series2 | Annals of mathematics studies ; |
| spelling | Discrete orthogonal polynomials : asymptotics and applications / J. Baik [and others]. Princeton : Princeton University Press, ©2007. 1 online resource (vi, 170 pages :) text txt rdacontent computer c rdamedia online resource cr rdacarrier Annals of mathematics studies ; no. 164 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. Use copy Restrictions unspecified star MiAaHDL Electronic reproduction. [Place of publication not identified] : HathiTrust Digital Library, 2011. MiAaHDL 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. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL digitized 2011 HathiTrust Digital Library committed to preserve pda MiAaHDL In English. Orthogonal polynomials Asymptotic theory. http://id.loc.gov/authorities/subjects/sh87003637 Polynômes orthogonaux Théorie asymptotique. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh MATHEMATICS Discrete Mathematics. bisacsh Orthogonal polynomials Asymptotic theory fast Orthogonale Polynome gnd http://d-nb.info/gnd/4172863-4 Asymptotik gnd http://d-nb.info/gnd/4126634-1 Orthogonal polynomials Asymptotic theory. nli Asymptotes. nli Baik, Jinho, 1973- https://id.oclc.org/worldcat/entity/E39PCjqBJVBrJYKxRdxGKpXtyq Print version: Discrete orthogonal polynomials. Princeton : Princeton University Press, 2007 9780691127330 (DLC) 2006050587 (OCoLC)71006840 Annals of mathematics studies ; no. 164. FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=544759 Volltext CBO01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=544759 Volltext |
| spellingShingle | Discrete orthogonal polynomials : asymptotics and applications / Annals of mathematics studies ; 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. Orthogonal polynomials Asymptotic theory. http://id.loc.gov/authorities/subjects/sh87003637 Polynômes orthogonaux Théorie asymptotique. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh MATHEMATICS Discrete Mathematics. bisacsh Orthogonal polynomials Asymptotic theory fast Orthogonale Polynome gnd http://d-nb.info/gnd/4172863-4 Asymptotik gnd http://d-nb.info/gnd/4126634-1 Orthogonal polynomials Asymptotic theory. nli Asymptotes. nli |
| subject_GND | http://id.loc.gov/authorities/subjects/sh87003637 http://d-nb.info/gnd/4172863-4 http://d-nb.info/gnd/4126634-1 |
| 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 | Orthogonal polynomials Asymptotic theory. http://id.loc.gov/authorities/subjects/sh87003637 Polynômes orthogonaux Théorie asymptotique. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh MATHEMATICS Discrete Mathematics. bisacsh Orthogonal polynomials Asymptotic theory fast Orthogonale Polynome gnd http://d-nb.info/gnd/4172863-4 Asymptotik gnd http://d-nb.info/gnd/4126634-1 Orthogonal polynomials Asymptotic theory. nli Asymptotes. nli |
| topic_facet | Orthogonal polynomials Asymptotic theory. Polynômes orthogonaux Théorie asymptotique. MATHEMATICS Calculus. MATHEMATICS Mathematical Analysis. MATHEMATICS Discrete Mathematics. Orthogonal polynomials Asymptotic theory Orthogonale Polynome Asymptotik Asymptotes. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=544759 |
| work_keys_str_mv | AT baikjinho discreteorthogonalpolynomialsasymptoticsandapplications |