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Funktsional. Anal. i Prilozhen., 1986, Volume 20, Issue 3, Pages 42–54 (Mi faa1297)  

This article is cited in 16 scientific papers (total in 16 papers)

Spectral theory of finite-zone nonstationary Schrödinger operators. A nonstationary Peierls model

I. M. Krichever


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English version:
Functional Analysis and Its Applications, 1986, 20:3, 203–214

Bibliographic databases:

UDC: 517.93+513.015.7
Received: 04.10.1985

Citation: I. M. Krichever, “Spectral theory of finite-zone nonstationary Schrödinger operators. A nonstationary Peierls model”, Funktsional. Anal. i Prilozhen., 20:3 (1986), 42–54; Funct. Anal. Appl., 20:3 (1986), 203–214

Citation in format AMSBIB
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\by I.~M.~Krichever
\paper Spectral theory of finite-zone nonstationary Schr\"odinger operators. A nonstationary Peierls model
\jour Funktsional. Anal. i Prilozhen.
\yr 1986
\vol 20
\issue 3
\pages 42--54
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\mathscinet{http://www.ams.org/mathscinet-getitem?mr=868560}
\zmath{https://zbmath.org/?q=an:0637.35060}
\transl
\jour Funct. Anal. Appl.
\yr 1986
\vol 20
\issue 3
\pages 203--214
\crossref{https://doi.org/10.1007/BF01078472}
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. R. A. Sharipov, “Multiplet solutions of the Kadomtsev–Petviashvili equation against a finite-zone background”, Russian Math. Surveys, 42:5 (1987), 177–178  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    2. Yu. V. Katyshev, V. G. Makhan'kov, R. Myrzakulov, “Vector generalization of a system of equations of interacting high-frequency and low-frequency waves”, Theoret. and Math. Phys., 72:1 (1987), 693–702  mathnet  crossref  mathscinet  isi
    3. I. M. Krichever, S. P. Novikov, “Algebras of virasoro type, riemann surfaces and structures of the theory of solitons”, Funct. Anal. Appl., 21:2 (1987), 126–142  mathnet  crossref  mathscinet  zmath  isi
    4. B. A. Dubrovin, S. M. Natanzon, “Real theta-function solutions of the Kadomtsev–Petviashvili equation”, Math. USSR-Izv., 32:2 (1989), 269–288  mathnet  crossref  mathscinet  zmath
    5. I. M. Krichever, “Spectral theory of two-dimensional periodic operators and its applications”, Russian Math. Surveys, 44:2 (1989), 145–225  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    6. I. M. Krichever, S. P. Novikov, “Algebras of virasoro type, energy-momentum tensor, and decomposition operators on Riemann surfaces”, Funct. Anal. Appl., 23:1 (1989), 19–33  mathnet  crossref  mathscinet  zmath  isi
    7. P. G. Grinevich, “Rapidly decreasing potentials on a background of finite-zone potentials and the $\partial$-problem on Riemann spaces”, Funct. Anal. Appl., 23:4 (1989), 321–322  mathnet  crossref  mathscinet  zmath  isi
    8. I. M. Krichever, “Two-Dimensional Algebraic-Geometric Operators with Self-Consistent Potentials”, Funct. Anal. Appl., 28:1 (1994), 21–32  mathnet  crossref  mathscinet  zmath  isi
    9. Eilbeck, JC, “Quasiperiodic and periodic solutions for vector nonlinear Schrodinger equations”, Journal of Mathematical Physics, 41:12 (2000), 8236  crossref  isi
    10. A. A. Akhmetshin, Yu. S. Vol'vovskii, “The Dynamics of Zeros of Finite-Gap Solutions of the Schrödinger Equation”, Funct. Anal. Appl., 35:4 (2001), 247–256  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    11. P. G. Grinevich, S. P. Novikov, “Singular finite-gap operators and indefinite metrics”, Russian Math. Surveys, 64:4 (2009), 625–650  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    12. I. M. Krichever, “Real Normalized Differentials and Arbarello's Conjecture”, Funct. Anal. Appl., 46:2 (2012), 110–120  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    13. P. G. Grinevich, S. P. Novikov, “Singular solitons and spectral meromorphy”, Russian Math. Surveys, 72:6 (2017), 1083–1107  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    14. Simonetta Abenda, Petr G. Grinevich, “Real soliton lattices of the Kadomtsev–Petviashvili II equation and desingularization of spectral curves: the $\mathrm {Gr^{ \scriptscriptstyle TP}}(2,4)$ case”, Proc. Steklov Inst. Math., 302 (2018), 1–15  mathnet  crossref  crossref  isi  elib
    15. A. V. Ilina, I. M. Krichever, N. A. Nekrasov, “Dvumernye periodicheskie operatory Shredingera, integriruemye na «sobstvennom» urovne energii”, Funkts. analiz i ego pril., 53:1 (2019), 31–48  mathnet  crossref  elib
    16. S. Grushevskii, I. M. Krichever, Kh. Norton, “Veschestvenno-normirovannye differentsialy: predely na stabilnykh krivykh”, UMN, 74:2(446) (2019), 81–148  mathnet  crossref  elib
  • Функциональный анализ и его приложения Functional Analysis and Its Applications
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