Bounds and Asymptotics for Orthogonal Polynomials for Varying Weights
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...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cham :
Springer International Publishing,
2018.
|
| Edition: | 1st ed. 2018. |
| Series: | SpringerBriefs in Mathematics,
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| Subjects: | |
| ISBN: | 9783319729473 |
| ISSN: | 2191-8198 |
| Online Access: |
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| 020 | |a 9783319729473 | ||
| 024 | 7 | |a 10.1007/978-3-319-72947-3 |2 doi | |
| 035 | |a CVTIDW07379 | ||
| 040 | |a Springer-Nature |b eng |c CVTISR |e AACR2 | ||
| 041 | |a eng | ||
| 100 | 1 | |a Levin, Eli. |4 aut | |
| 245 | 1 | 0 | |a Bounds and Asymptotics for Orthogonal Polynomials for Varying Weights |h [electronic resource] / |c by Eli Levin, Doron S. Lubinsky. |
| 250 | |a 1st ed. 2018. | ||
| 260 | 1 | |a Cham : |b Springer International Publishing, |c 2018. | |
| 300 | |a VII, 170 p. |b online resource. | ||
| 490 | 1 | |a SpringerBriefs in Mathematics, |x 2191-8198 | |
| 500 | |a Mathematics and Statistics | ||
| 505 | 0 | |a Introduction -- Statement of Main Results -- Potential Theoretic Estimates -- Restricted Range Inequalities -- Bounds for Christoffel Functions -- Spacing of Zeros -- Bounds on Orthogonal Polynomials -- Markov-Bernstein Inequalities in L -- Discretization of Potentials -- Derivatives of Discretized Polynomials -- Weighted Polynomial Approximations -- Formulae Involving Bernstain-Szego Polynomials -- Asymptotics of Orthonormal Polynomials -- Further Bounds -- Universality Limits and Entropy Integrals. | |
| 516 | |a text file PDF | ||
| 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 Algebra. | |
| 650 | 0 | |a Field theory (Physics). | |
| 650 | 0 | |a Approximation theory. | |
| 856 | 4 | 0 | |u http://hanproxy.cvtisr.sk/han/cvti-ebook-springer-eisbn-978-3-319-72947-3 |y Vzdialený prístup pre registrovaných používateľov |
| 910 | |b ZE04659 | ||
| 919 | |a 978-3-319-72947-3 | ||
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| 999 | |c 272864 |d 272864 | ||