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010   $a3-319-72947-0
024 7 $a10.1007/978-3-319-72947-3
035   $a(CKB)3840000000347793
035   $a(MiAaPQ)EBC5295035
035   $a(DE-He213)978-3-319-72947-3
035   $a(PPN)224638815
035   $a(EXLCZ)993840000000347793
100   $a20180213d2018      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $2rdacontent
182   $2rdamedia
183   $2rdacarrier
200 10$aBounds and Asymptotics for Orthogonal Polynomials for Varying Weights /$fby Eli Levin, Doron S. Lubinsky
205   $a1st ed. 2018.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2018.
215   $a1 online resource (170 pages)
225 1 $aSpringerBriefs in Mathematics,$x2191-8198
311   $a3-319-72946-2 
320   $aIncludes bibliographical references and index.
327   $aIntroduction -- 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.
330   $aThis book establishes bounds and asymptotics under almost minimal conditions on the varying weights, and applies them to universality limits and entropy integrals. Orthogonal polynomials associated with varying weights play a key role in analyzing random matrices and other topics. This book will be of use to a wide community of mathematicians, physicists, and statisticians dealing with techniques of potential theory, orthogonal polynomials, approximation theory, as well as random matrices. .
410  0$aSpringerBriefs in Mathematics,$x2191-8198
606   $aAlgebra
606   $aField theory (Physics)
606   $aApproximation theory
606   $aField Theory and Polynomials$3https://scigraph.springernature.com/ontologies/product-market-codes/M11051
606   $aApproximations and Expansions$3https://scigraph.springernature.com/ontologies/product-market-codes/M12023
615  0$aAlgebra.
615  0$aField theory (Physics).
615  0$aApproximation theory.
615 14$aField Theory and Polynomials.
615 24$aApproximations and Expansions.
676   $a515.55
700   $aLevin$b Eli$4aut$4http://id.loc.gov/vocabulary/relators/aut$0768216
702   $aLubinsky$b Doron S$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910300112503321
996   $aBounds and Asymptotics for Orthogonal Polynomials for Varying Weights$91933895
997   $aUNINA