메뉴 건너뛰기




Volumn 193, Issue 1, 1998, Pages 125-150

An inverse problem associated with polynomials orthogonal on the unit circle

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0032385018     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050321     Document Type: Article
Times cited : (15)

References (30)
  • 1
    • 0016369301 scopus 로고
    • The inverse scattering transform: Fourier analysis for non-linear systems
    • Ablowitz, M., Kaup, D., Newell, A. and Segur, H.: The inverse scattering transform: Fourier analysis for non-linear systems. Studies in Appl. Math. 53, 249-315 (1974)
    • (1974) Studies in Appl. Math. , vol.53 , pp. 249-315
    • Ablowitz, M.1    Kaup, D.2    Newell, A.3    Segur, H.4
  • 5
    • 84972566320 scopus 로고
    • Almost periodic Schrodinger operators II. The integrated density of states
    • Avron, J. and Simon, B.: Almost periodic Schrodinger Operators II. The integrated density of States. Duke Math. 50, 369-391 (1983)
    • (1983) Duke Math. , vol.50 , pp. 369-391
    • Avron, J.1    Simon, B.2
  • 8
    • 0002709196 scopus 로고
    • Dichotomies in stability theory
    • New York-Berlin: Springer-Verlag
    • Coppel, A.: Dichotomies in Stability Theory. Lecture Notes in Mathematics 629, New York-Berlin: Springer-Verlag, 1978
    • (1978) Lecture Notes in Mathematics , vol.629
    • Coppel, A.1
  • 9
    • 84972546484 scopus 로고
    • Subharmonicity of the Lyapunov index
    • Craig, W. and Simon, B.: Subharmonicity of the Lyapunov Index, Duke Math, 50, 551-560 (1983)
    • (1983) Duke Math , vol.50 , pp. 551-560
    • Craig, W.1    Simon, B.2
  • 10
    • 0001859501 scopus 로고
    • Anderson localization for the I-D discrete Schrödinger operator with two-frequency potential
    • Chulaevsky, V. and Sinai, Y.: Anderson localization for the I-D discrete Schrödinger operator with two-frequency potential. Comm. Math. Phys. 125, 91-112 (1989)
    • (1989) Comm. Math. Phys. , vol.125 , pp. 91-112
    • Chulaevsky, V.1    Sinai, Y.2
  • 12
    • 84913921727 scopus 로고
    • Non-linear equations of Korteweg-de Vries type, finite-zone linear operators, and Abelian varieties
    • Dubrovin, B. Matveev, V. and Novikov, S.: Non-linear equations of Korteweg-de Vries type, finite-zone linear operators, and Abelian varieties. Russ. Math. Surveys 31, 59-146 (1976)
    • (1976) Russ. Math. Surveys , vol.31 , pp. 59-146
    • Dubrovin, B.1    Matveev, V.2    Novikov, S.3
  • 13
  • 14
    • 0003351912 scopus 로고
    • Theta functions on Riemann surfaces
    • New York-Berlin: Springer-Verlag
    • Fay, J.: Theta Functions on Riemann Surfaces. Lecture Notes in Mathematics 352, New York-Berlin: Springer-Verlag, 1973
    • (1973) Lecture Notes in Mathematics , vol.352
    • Fay, J.1
  • 15
    • 0030595783 scopus 로고    scopus 로고
    • Rotation numbers associated with difference equations satisfied by polynomials orthogonal on the unit circle
    • Geronimo, J. and Johnson, R.: Rotation numbers associated with difference equations satisfied by polynomials orthogonal on the unit circle. JDE 132, 140-178 (1996)
    • (1996) JDE , vol.132 , pp. 140-178
    • Geronimo, J.1    Johnson, R.2
  • 16
    • 0000933094 scopus 로고    scopus 로고
    • Perturbation of orthogonal polynomials on an arc of the circle
    • Golinskii, L., Nevai, P. and Van Assche, W.: Perturbation of Orthogonal Polynomials on an Arc of the Circle. JAT 83, 392-422 (1996)
    • (1996) JAT , vol.83 , pp. 392-422
    • Golinskii, L.1    Nevai, P.2    Van Assche, W.3
  • 17
    • 0001553552 scopus 로고
    • A difference equation arising from the trigonometric moment problem having random reflection coefficients
    • Geronimo, J. and Teplaev, A.: A difference equation arising from the trigonometric moment problem having random reflection coefficients. J. Funct. Anal 123, 12-45 (1994)
    • (1994) J. Funct. Anal , vol.123 , pp. 12-45
    • Geronimo, J.1    Teplaev, A.2
  • 19
    • 0039968388 scopus 로고
    • Lyapunov numbers for the almost periodic Schrödinger equation III
    • Johnson, R.: Lyapunov numbers for the almost periodic Schrödinger equation III. J. Math. 28, 387-419 (1984)
    • (1984) J. Math. , vol.28 , pp. 387-419
    • Johnson, R.1
  • 20
    • 0000423029 scopus 로고
    • The rotation number for almost periodic potentials
    • Johnson, R. and Moser, J.: The rotation number for almost periodic potentials. Commun. Math. Phys. 84, 403-438 (1982)
    • (1982) Commun. Math. Phys. , vol.84 , pp. 403-438
    • Johnson, R.1    Moser, J.2
  • 21
    • 0001363270 scopus 로고
    • An extension of Kotani's theorem to random generalized Sturm Liouville operators
    • Minami, N.: An extension of Kotani's theorem to random generalized Sturm Liouville operators. Commun. Math. Phys. 103, 387-402 (1986)
    • (1986) Commun. Math. Phys. , vol.103 , pp. 387-402
    • Minami, N.1
  • 22
    • 0001253693 scopus 로고
    • The spectrum of Hill's equation
    • McKean, H. and van Moerbeke, P.: The spectrum of Hill's equation. Invent. Math. 30, 217-274 (1975)
    • (1975) Invent. Math. , vol.30 , pp. 217-274
    • McKean, H.1    Van Moerbeke, P.2
  • 23
    • 0000543733 scopus 로고
    • A multiplicative ergodic theorem. Lyapounov characteristic numbers for dynamical systems
    • Oseledec, V.: A multiplicative ergodic theorem. Lyapounov characteristic numbers for dynamical systems. Trans. Moscow Math. Soc. 19, 197-231 (1968)
    • (1968) Trans. Moscow Math. Soc. , vol.19 , pp. 197-231
    • Oseledec, V.1
  • 27
    • 0003217929 scopus 로고
    • Orthogonal polynomials
    • Providence, RI: Am. Math, Soc.
    • Szego, G.: Orthogonal Polynomials. Coll. Pub. vol. 23, Providence, RI: Am. Math, Soc., 1975
    • (1975) Coll. Pub. , vol.23
    • Szego, G.1
  • 30
    • 0003294438 scopus 로고
    • An introduction to ergodic theory
    • New York-Berlin: Springer-Verlag
    • Walters, P.: An Introduction to Ergodic Theory. Graduate Texts in Math. 79, New York-Berlin: Springer-Verlag, 1982
    • (1982) Graduate Texts in Math. , vol.79
    • Walters, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.