Orthogonal polynomials with ratio asymptotics
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- by Vilmos Totik PDF
- Proc. Amer. Math. Soc. 114 (1992), 491-495 Request permission
Abstract:
A general construction is given for measures for which the corresponding orthogonal polynomials have ratio asymptotics.References
- François Delyon, Barry Simon, and Bernard Souillard, From power pure point to continuous spectrum in disordered systems, Ann. Inst. H. Poincaré Phys. Théor. 42 (1985), no. 3, 283–309 (English, with French summary). MR 797277 G. Freud, Orthogonal polynomials, Akadémia Kiadó/Pergamon Press, Budapest, 1971.
- D. S. Lubinsky, Jump distributions on $[-1,1]$ whose orthogonal polynomials have leading coefficients with given asymptotic behavior, Proc. Amer. Math. Soc. 104 (1988), no. 2, 516–524. MR 962822, DOI 10.1090/S0002-9939-1988-0962822-2
- D. S. Lubinsky, Singularly continuous measures in Nevai’s class $M$, Proc. Amer. Math. Soc. 111 (1991), no. 2, 413–420. MR 1039259, DOI 10.1090/S0002-9939-1991-1039259-3
- Walter Van Assche and Alphonse P. Magnus, Sieved orthogonal polynomials and discrete measures with jumps dense in an interval, Proc. Amer. Math. Soc. 106 (1989), no. 1, 163–173. MR 953001, DOI 10.1090/S0002-9939-1989-0953001-4
- Paul G. Nevai, Orthogonal polynomials, Mem. Amer. Math. Soc. 18 (1979), no. 213, v+185. MR 519926, DOI 10.1090/memo/0213 E. A. Rahmanov, On the asymptotics of the ratio of orthonormal polynomials, Math. USSR Sb. 32 (1977), 199-213.
Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 114 (1992), 491-495
- MSC: Primary 42C05
- DOI: https://doi.org/10.1090/S0002-9939-1992-1065095-9
- MathSciNet review: 1065095