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Volumn 231, Issue 2, 1999, Pages 345-368

Inverse problem and the trace formula for the Hill operator, II

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EID: 0033454816     PISSN: 00255874     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00004733     Document Type: Article
Times cited : (57)

References (25)
  • 1
    • 84974003856 scopus 로고
    • On the symplectic structure of the phase space for periodic KdV, Toda, and defocusing NLS
    • D. Battig, A. Bloch, J. Guillot, T. Kappeler: On the symplectic structure of the phase space for periodic KdV, Toda, and defocusing NLS. Duke Math. J. 79, 549-604 (1995).
    • (1995) Duke Math. J. , vol.79 , pp. 549-604
    • Battig, D.1    Bloch, A.2    Guillot, J.3    Kappeler, T.4
  • 2
    • 34250407091 scopus 로고
    • Periodic problems for the Korteveg de Vries equation in the class of finite-gap potentials
    • B. Dubrovin: Periodic problems for the Korteveg de Vries equation in the class of finite-gap potentials. Funct. Anal. Appl. 9, 215-223 (1975).
    • (1975) Funct. Anal. Appl. , vol.9 , pp. 215-223
    • Dubrovin, B.1
  • 3
    • 0000300656 scopus 로고
    • Riemann surface of quasimomentum and scattering theory for the perturbed Hill operator
    • Firsova N. : Riemann surface of quasimomentum and scattering theory for the perturbed Hill operator, J. Soviet Math. 11, 487-497 (1975)
    • (1975) J. Soviet Math. , vol.11 , pp. 487-497
    • Firsova, N.1
  • 4
    • 51249182844 scopus 로고
    • Gaps and bands of one dimensional periodic Schrödinger operators
    • J. Garnett, E. Trubowitz: Gaps and bands of one dimensional periodic Schrödinger operators. Comment. Math. Helv. 59, 258-312 (1984)
    • (1984) Comment. Math. Helv. , vol.59 , pp. 258-312
    • Garnett, J.1    Trubowitz, E.2
  • 5
    • 51249173364 scopus 로고
    • Gaps and bands of one dimensional periodic Schrödinger operators II
    • J. Garnett, E. Trubowitz: Gaps and bands of one dimensional periodic Schrödinger operators II. Comment. Math. Helv. 62, 18-37 (1987).
    • (1987) Comment. Math. Helv. , vol.62 , pp. 18-37
    • Garnett, J.1    Trubowitz, E.2
  • 6
    • 0346992623 scopus 로고
    • Schrödinger operator with the finite-gap spectrum and the N-soliton solutions of the Korteveg de Fries equation
    • A. Its, V. Matveev: Schrödinger operator with the finite-gap spectrum and the N-soliton solutions of the Korteveg de Fries equation. Theoret. Math. Phys. 23, 343-355 (1975).
    • (1975) Theoret. Math. Phys. , vol.23 , pp. 343-355
    • Its, A.1    Matveev, V.2
  • 7
    • 0000928116 scopus 로고
    • Fibration of the phase space for the Korteveg-de-Vries equation
    • T. Kappeler: Fibration of the phase space for the Korteveg-de-Vries equation. Ann. Inst. Fourier (Grenoble), 41, 1, 539-575 (1991).
    • (1991) Ann. Inst. Fourier (Grenoble) , vol.41 , Issue.1 , pp. 539-575
    • Kappeler, T.1
  • 8
    • 0031493397 scopus 로고    scopus 로고
    • The inverse problem for the Hill operator, direct approach
    • P. Kargaev, E. Korotyaev: The inverse problem for the Hill operator, direct approach. Invent. Math. 129, 567-593(1997)
    • (1997) Invent. Math. , vol.129 , pp. 567-593
    • Kargaev, P.1    Korotyaev, E.2
  • 9
    • 0002254974 scopus 로고
    • Effective masses and conformal mappings
    • Kargaev P., Korotyaev E.: Effective masses and conformal mappings. Commun. Math. Phys. 169, 597-625 (1995).
    • (1995) Commun. Math. Phys. , vol.169 , pp. 597-625
    • Kargaev, P.1    Korotyaev, E.2
  • 10
    • 1842779833 scopus 로고    scopus 로고
    • The inverse problem for the Hill operator I
    • E. Korotyaev: The inverse problem for the Hill operator I. Inter. Math. Research. Notes. 1997, 3, 113-125.
    • (1997) Inter. Math. Research. Notes. , vol.3 , pp. 113-125
    • Korotyaev, E.1
  • 11
    • 0002653597 scopus 로고    scopus 로고
    • Propagation of waves in one-dimensional periodic media
    • E. Korotyaev: Propagation of waves in one-dimensional periodic media. Asymptotic Analysis, 1997, 15, 1-24.
    • (1997) Asymptotic Analysis , vol.15 , pp. 1-24
    • Korotyaev, E.1
  • 12
    • 0031540680 scopus 로고    scopus 로고
    • The estimate of periodic potentials in terms of effective masses
    • E. Korotyaev: The estimate of periodic potentials in terms of effective masses. Commun. Math. Phys. 1997, 183, 383-400
    • (1997) Commun. Math. Phys. , vol.183 , pp. 383-400
    • Korotyaev, E.1
  • 13
    • 0039187617 scopus 로고    scopus 로고
    • Estimate for the Hill operator.I
    • preprint FIM ETH, Zurich, Nov.
    • Korotyaev E. Estimate for the Hill operator.I, preprint FIM ETH, Zurich, Nov. 1997, to be published in J. Diff. Eq.
    • (1997) J. Diff. Eq.
    • Korotyaev, E.1
  • 14
    • 1842535557 scopus 로고    scopus 로고
    • Metric properties of conformal mappings on the complex plane with parallel slits
    • E. Korotyaev: Metric properties of conformal mappings on the complex plane with parallel slits. Inter. Math. Research. Notes. 1996, 10, 493-503.
    • (1996) Inter. Math. Research. Notes. , vol.10 , pp. 493-503
    • Korotyaev, E.1
  • 16
    • 0032475763 scopus 로고    scopus 로고
    • Estimate of periodic potentials in terms of gap lengths
    • E. Korotyaev: Estimate of periodic potentials in terms of gap lengths. Commun. Math. Phys. 197, 521-526 (1998).
    • (1998) Commun. Math. Phys. , vol.197 , pp. 521-526
    • Korotyaev, E.1
  • 18
    • 84856125861 scopus 로고
    • A characterization of the spectrum of the Hill operator
    • V. Marchenko, I. Ostrovski: A characterization of the spectrum of the Hill operator. Math. USSR Sbornik 26, 493-554 (1975).
    • (1975) Math. USSR Sbornik , vol.26 , pp. 493-554
    • Marchenko, V.1    Ostrovski, I.2
  • 19
    • 0000486874 scopus 로고
    • Approximation of periodic by finite-zone potentials
    • V. Marchenko, I. Ostrovski : Approximation of periodic by finite-zone potentials. Selecta Math. Sovietica. 1987, 6, 101-136.
    • (1987) Selecta Math. Sovietica , vol.6 , pp. 101-136
    • Marchenko, V.1    Ostrovski, I.2
  • 21
    • 34250399331 scopus 로고
    • The periodic problem for the Korteveg de Fries equation
    • S. Novikov : The periodic problem for the Korteveg de Fries equation. Funct. Anal. Appl. 8, 236-246 (1974).
    • (1974) Funct. Anal. Appl. , vol.8 , pp. 236-246
    • Novikov, S.1
  • 23
    • 84980187488 scopus 로고
    • The inverse problem for periodic potentials
    • E. Trubowitz : The inverse problem for periodic potentials. Commun. Pure Appl. Math. 30, 321-337 (1977).
    • (1977) Commun. Pure Appl. Math. , vol.30 , pp. 321-337
    • Trubowitz, E.1
  • 24
    • 0039187616 scopus 로고    scopus 로고
    • private communication
    • E. Trubowitz : private communication.
    • Trubowitz, E.1
  • 25
    • 0039187615 scopus 로고    scopus 로고
    • On the spectrum of Schrödinger operator with periodic potentials on the halfline
    • Zheludev V. On the spectrum of Schrödinger operator with periodic potentials on the halfline. Trudy kaf. mat. anal. Kaliningarad univ. 1969.
    • Trudy Kaf. Mat. Anal. Kaliningarad Univ. , pp. 1969
    • Zheludev, V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.