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Volumn 278, Issue 12-13, 2005, Pages 1615-1620

Limits of zeros of orthogonal polynomials on the circle

Author keywords

Degree theory; Density of zeros; Orthogonal polynomials; Unit circle; Universal measure; Zeros

Indexed keywords


EID: 26844487007     PISSN: 0025584X     EISSN: None     Source Type: Journal    
DOI: 10.1002/mana.200410326     Document Type: Review
Times cited : (5)

References (12)
  • 1
    • 38249028776 scopus 로고
    • Solution of a problem of P. Turán on zeros of orthogonal polynomials on the unit circle
    • M. P. Alfaro and L. Vigil, Solution of a problem of P. Turán on zeros of orthogonal polynomials on the unit circle, J. Approx. Theory 53, 195-197 (1988).
    • (1988) J. Approx. Theory , vol.53 , pp. 195-197
    • Alfaro, M.P.1    Vigil, L.2
  • 3
    • 0042587276 scopus 로고
    • On the trigonometric moment problem
    • J. Geronimus, On the trigonometric moment problem, Ann. of Math. (2) 47, 742-761 (1946).
    • (1946) Ann. of Math. (2) , vol.47 , pp. 742-761
    • Geronimus, J.1
  • 4
    • 0041062997 scopus 로고
    • Cambridge University Press, Cambridge-New York-Melbourne
    • N. G. Lloyd, Degree Theory, Cambridge Tracts Vol. 73 (Cambridge University Press, Cambridge-New York-Melbourne, 1978).
    • (1978) Degree Theory, Cambridge Tracts , vol.73
    • Lloyd, N.G.1
  • 5
    • 0003262253 scopus 로고
    • Holomorphic functions and integral representations in several complex variables
    • Springer-Verlag, New York
    • R. M. Range, Holomorphic Functions and Integral Representations in Several Complex Variables, Graduate Texts in Mathematics Vol. 108 (Springer-Verlag, New York, 1986).
    • (1986) Graduate Texts in Mathematics , vol.108
    • Range, R.M.1
  • 6
    • 84968468438 scopus 로고
    • What parts of a measure's support attract zeros of the corresponding orthogonal polynomials?
    • E. B. Saff and V. Totik, What parts of a measure's support attract zeros of the corresponding orthogonal polynomials?, Proc. Amer. Math. Soc. 114, 185-190 (1992).
    • (1992) Proc. Amer. Math. Soc. , vol.114 , pp. 185-190
    • Saff, E.B.1    Totik, V.2
  • 7
    • 26844461796 scopus 로고    scopus 로고
    • American Mathematical Society Colloquium Publication American Mathematical Society, Providence, RI
    • B. Simon, Orthogonal Polynomials on the Unit Circle, American Mathematical Society Colloquium Publication (American Mathematical Society, Providence, RI, 2005).
    • (2005) Orthogonal Polynomials on the Unit Circle
    • Simon, B.1
  • 9
    • 26844477054 scopus 로고
    • On some problems connected with polynomials orthogonal on the complex unit circle
    • J. Szabados, On some problems connected with polynomials orthogonal on the complex unit circle, Acta Math. Hungar. 33, 197-210 (1979).
    • (1979) Acta Math. Hungar. , vol.33 , pp. 197-210
    • Szabados, J.1
  • 10
    • 0002419647 scopus 로고
    • On some open problems of approximation theory
    • P. Turán, On some open problems of approximation theory, J. Approx. Theory 29, 23-85 (1980).
    • (1980) J. Approx. Theory , vol.29 , pp. 23-85
    • Turán, P.1
  • 11
    • 84963105696 scopus 로고
    • On positive harmonic functions (first part)
    • S. Verblunsky, On positive harmonic functions (first part), Proc. London Math. Soc. (3) 40, 290-320 (1936).
    • (1936) Proc. London Math. Soc. (3) , vol.40 , pp. 290-320
    • Verblunsky, S.1
  • 12
    • 0011006178 scopus 로고
    • Polynomials associated with measures in the complex plane
    • H. Widom, Polynomials associated with measures in the complex plane, J. Math. Mech. 16, 997-1013 (1967).
    • (1967) J. Math. Mech. , vol.16 , pp. 997-1013
    • Widom, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.