Bounds and asymptotics for orthogonal polynomials for varying weights /
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| Author / Creator: | Levin, A. L., 1944- author. |
|---|---|
| Imprint: | Cham, Switzerland : Springer, 2018. |
| Description: | 1 online resource |
| Language: | English |
| Series: | SpringerBriefs in mathematics SpringerBriefs in mathematics. |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11543471 |
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| 100 | 1 | |a Levin, A. L., |d 1944- |e author. |0 http://id.loc.gov/authorities/names/n94035612 | |
| 245 | 1 | 0 | |a Bounds and asymptotics for orthogonal polynomials for varying weights / |c Eli Levin, Doron S. Lubinsky. |
| 264 | 1 | |a Cham, Switzerland : |b Springer, |c 2018. | |
| 300 | |a 1 online resource | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a SpringerBriefs in mathematics | |
| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Online resource; title from PDF title page (EBSCO, viewed February 19, 2018). | |
| 505 | 0 | |a Intro; Acknowledgement; Contents; 1 Introduction; 2 Statement of Main Results; 3 Potential Theoretic Estimates; 4 Restricted Range Inequalities; 5 Bounds for Christoffel Functions; 6 Spacing of Zeros; 7 Bounds on Orthogonal Polynomials; 8 Markov-Bernstein Inequalities in Lâ#x88;#x9E;; 9 Discretization of Potentials; 10 Derivatives of Discretized Polynomials; 11 Weighted Polynomial Approximations; 12 Formulae Involving Bernstein-SzegÅ#x91; Polynomials; 13 Asymptotics of Orthonormal Polynomials; 14 Further Bounds; 15 Universality Limits and Entropy Integrals; References; Index. | |
| 520 | |a This book establishes bounds and asymptotics under almost minimal conditions on the varying weights, and applies them to universality limits and entropy integrals. Orthogonal polynomials associated with varying weights play a key role in analyzing random matrices and other topics. This book will be of use to a wide community of mathematicians, physicists, and statisticians dealing with techniques of potential theory, orthogonal polynomials, approximation theory, as well as random matrices. | ||
| 650 | 0 | |a Orthogonal polynomials. |0 http://id.loc.gov/authorities/subjects/sh85095794 | |
| 650 | 0 | |a Convergence. |0 http://id.loc.gov/authorities/subjects/sh85031692 | |
| 650 | 7 | |a MATHEMATICS |x Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Mathematical Analysis. |2 bisacsh | |
| 650 | 7 | |a Differential calculus & equations. |2 bicssc | |
| 650 | 7 | |a Algebra. |2 bicssc | |
| 650 | 7 | |a Convergence. |2 fast |0 (OCoLC)fst00877195 | |
| 650 | 7 | |a Orthogonal polynomials. |2 fast |0 (OCoLC)fst01048521 | |
| 655 | 4 | |a Electronic books | |
| 700 | 1 | |a Lubinsky, D. S. |q (Doron Shaul), |d 1955- |e author. |0 http://id.loc.gov/authorities/names/n88009074 | |
| 776 | 0 | 8 | |i Print version: |a Levin, A.L., 1944- |t Bounds and asymptotics for orthogonal polynomials for varying weights. |d Cham, Switzerland : Springer, 2018 |z 3319729462 |z 9783319729466 |w (OCoLC)1013170961 |
| 830 | 0 | |a SpringerBriefs in mathematics. |0 http://id.loc.gov/authorities/names/no2011133396 | |
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| 928 | |t Library of Congress classification |a QA404.5 |l Online |c UC-FullText |u https://link.springer.com/10.1007/978-3-319-72947-3 |z Springer Nature |g ebooks |i 12552234 | ||