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Volumn 65, Issue 3, 2013, Pages 600-620

Christoffel functions and universality in the bulk for multivariate orthogonal polynomials

Author keywords

Christoffel functions; Correlation functions; Orthogonal polynomials; Random matrices; Unitary ensembles

Indexed keywords


EID: 84901910453     PISSN: 0008414X     EISSN: None     Source Type: Journal    
DOI: 10.4153/CJM-2012-016-x     Document Type: Article
Times cited : (67)

References (23)
  • 3
    • 58449104423 scopus 로고    scopus 로고
    • Asymptotics for christoffel functions of planar measures
    • T. Bloom and N. Levenberg, Asymptotics for Christoffel functions of planar measures, J. Anal. Math. 106(2008), 353-371. http://dx.doi.org/10.1007/ s11854-008-0052-2
    • (2008) J. Anal. Math. , vol.106 , pp. 353-371
    • Bloom, T.1    Levenberg, N.2
  • 4
    • 0003346458 scopus 로고    scopus 로고
    • Orthogonal polynomials and random matrices: A riemann-hilbert approach
    • New York University, Courant Institute of Mathematical Sciences, New York; American Mathematical Society, Providence, RI
    • P. Deift, Orthogonal polynomials and random matrices: A Riemann-Hilbert approach. Courant Institute Lecture Notes, 3, New York University, Courant Institute of Mathematical Sciences, New York; American Mathematical Society, Providence, RI, 1999.
    • (1999) Courant Institute Lecture Notes , vol.3
    • Deift, P.1
  • 5
    • 84874083594 scopus 로고    scopus 로고
    • London Mathematical Society Monographs Series, 34, Princeton University Press, Princeton, NJ
    • P. J. Forrester, Log-gases and random matrices. London Mathematical Society Monographs Series, 34, Princeton University Press, Princeton, NJ, 2010.
    • (2010) Log-gases and Random Matrices
    • Forrester, P.J.1
  • 6
    • 0011296710 scopus 로고    scopus 로고
    • Extremal properties of multivariate polynomials on sets with analytic parametrization
    • A. Kroó, Extremal properties of multivariate polynomials on sets with analytic parametrization. East J. Approx. 7(2001), no. 1, 27-40.
    • (2001) East J. Approx. , vol.7 , Issue.1 , pp. 27-40
    • Kroó, A.1
  • 7
    • 0002759164 scopus 로고
    • p approximation
    • p approximation. Constr. Approx. 8(1992), no. 1, 87-103. http://dx.doi.org/10. 1007/BF01208908
    • (1992) Constr. Approx. , vol.8 , Issue.1 , pp. 87-103
    • Kroó, A.1    Swetits, J.J.2
  • 8
    • 71449084289 scopus 로고    scopus 로고
    • A new approach to universality limits involving orthogonal polynomials
    • D. S. Lubinsky, A new approach to universality limits involving orthogonal polynomials. Ann. of Math. 170(2009), no. 2, 915-939. http://dx.doi.org/10.4007/annals.2009.170.915
    • (2009) Ann. of Math. , vol.170 , Issue.2 , pp. 915-939
    • Lubinsky, D.S.1
  • 9
    • 84857869644 scopus 로고    scopus 로고
    • Bulk universality holds in measure for compactly supported measures
    • -, Bulk universality holds in measure for compactly supported measures. J. Anal. Math. 116(2012), 219-253. http://dx.doi.org/10.1007/s11854-012-0006-6
    • (2012) J. Anal. Math. , vol.116 , pp. 219-253
    • Lubinsky, D.S.1
  • 10
    • 0011680525 scopus 로고
    • Szego's extremum problem on the unit circle
    • A. Maté, P. Nevai, and V. Totik, Szego's extremum problem on the unit circle. Ann. of Math. 134(1991), no. 2, 433-453. http://dx.doi.org/10.2307/ 2944352
    • (1991) Ann. of Math. , vol.134 , Issue.2 , pp. 433-453
    • Maté, A.1    Nevai, P.2    Totik, V.3
  • 11
    • 0000956929 scopus 로고
    • Orthogonal polynomials
    • P. G. Nevai, Orthogonal polynomials. Mem. Amer. Math. Soc. 18(1979), no. 213.
    • (1979) Mem. Amer. Math. Soc. , vol.18 , Issue.213
    • Nevai, P.G.1
  • 12
    • 46149132433 scopus 로고
    • G éza freud, orthogonal polynomials and christoffel functions: A case study
    • -, G éza Freud, orthogonal polynomials and Christoffel functions: A case study. J. Approx. Theory 48(1986), no. 1.
    • (1986) J. Approx. Theory , vol.48 , Issue.1
    • Nevai, P.G.1
  • 13
    • 58449115710 scopus 로고    scopus 로고
    • Two extensions of lubinsky's universality theorem
    • B. Simon, Two extensions of Lubinsky's universality theorem. J. Anal. Math. 105(2008), 345-362. http://dx.doi.org/10.1007/s11854-008-0039-z
    • (2008) J. Anal. Math. , vol.105 , pp. 345-362
    • Simon, B.1
  • 16
    • 0004073954 scopus 로고
    • Fourth ed., American Mathematical Society, Providence, RI
    • G. Szego, Orthogonal polynomials. Fourth ed., American Mathematical Society, Providence, RI, 1975.
    • (1975) Orthogonal Polynomials
    • Szego, G.1
  • 17
    • 0012879970 scopus 로고    scopus 로고
    • Asymptotics for christoffel functions for general measures on the real line
    • V. Totik, Asymptotics for Christoffel functions for general measures on the real line. J. Anal. Math. 81(2000), 283-303. http://dx.doi.org/10.1007/ BF02788993
    • (2000) J. Anal. Math. , vol.81 , pp. 283-303
    • Totik, V.1
  • 18
    • 70350012470 scopus 로고    scopus 로고
    • Universality and fine zero spacing on general sets
    • V. Totik, Universality and fine zero spacing on general sets. Ark. Mat. 47(2009), no. 2, 361-391. http://dx.doi.org/10.1007/s11512-008-0071-3
    • (2009) Ark. Mat. , vol.47 , Issue.2 , pp. 361-391
    • Totik, V.1
  • 19
    • 0011548704 scopus 로고
    • Christoffel functions and fourier series for multivariate orthogonal polynomials
    • Y. Xu, Christoffel functions and Fourier series for multivariate orthogonal polynomials. J. Approx. Theory 82(1995), no. 2, 205-239. http://dx.doi.org/10.1006/jath.1995.1075
    • (1995) J. Approx. Theory , vol.82 , Issue.2 , pp. 205-239
    • Xu, Y.1
  • 20
    • 0006761190 scopus 로고    scopus 로고
    • Asymptotics for orthogonal polynomials and christoffel functions on a ball
    • -, Asymptotics for orthogonal polynomials and Christoffel functions on a ball. Methods Appl. Anal. 3(1996), no. 2, 257-272.
    • (1996) Methods Appl. Anal. , vol.3 , Issue.2 , pp. 257-272
    • Xu, Y.1
  • 21
    • 22444456182 scopus 로고    scopus 로고
    • d
    • d. Proc. Amer. Math. Soc. 128(1998), no. 10, 3027-3036. http://dx.doi.org/10.1090/S0002-9939-98-04415-3
    • (1998) Proc. Amer. Math. Soc. , vol.128 , Issue.10 , pp. 3027-3036
    • Xu, Y.1
  • 22
    • 0000663047 scopus 로고    scopus 로고
    • d
    • d. Trans. Amer. Math. Soc. 351(1999), no. 6, 2439-2458. http://dx.doi.org/10.1090/S0002-9947-99-02225-4
    • (1999) Trans. Amer. Math. Soc. , vol.351 , Issue.6 , pp. 2439-2458
    • Xu, Y.1
  • 23
    • 0039498799 scopus 로고    scopus 로고
    • d
    • d. J. Approx. Theory 99(1999), no. 1, 122-133. http://dx.doi.org/10. 1006/jath.1998.3312
    • (1999) J. Approx. Theory , vol.99 , Issue.1 , pp. 122-133
    • Xu, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.