Commuting differential operators of rank 2 with trigonometric coefficients

被引:9
作者
Davletshina, V. N. [1 ]
机构
[1] Novosibirsk State Univ, Sobolev Inst Math, Novosibirsk 630090, Russia
基金
俄罗斯科学基金会;
关键词
theory of spectral curves; commuting differential operators; CURVE;
D O I
10.1134/S0037446615030040
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Some examples are constructed of commuting rank 2 self-adjoint differential operators of orders 4 and 4g + 2 with trigonometric coefficients.
引用
收藏
页码:405 / 410
页数:6
相关论文
共 17 条
  • [1] [Anonymous], 1978, Func. Anal. Appl., DOI 10.1007/BF01681429
  • [2] [Anonymous], 2014, Topology, Geometry, Integrable Systems and Mathematical Physics
  • [3] Burchnall JL, 1923, P LOND MATH SOC, V21, P420
  • [4] ON SELF-ADJOINT COMMUTING DIFFERENTIAL OPERATORS OF RANK TWO
    Davletshina, V. N.
    [J]. SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2013, 10 : 109 - 112
  • [5] On commuting differential operators of rank 2
    Davletshina, V. N.
    Shamaev, E. I.
    [J]. SIBERIAN MATHEMATICAL JOURNAL, 2014, 55 (04) : 606 - 610
  • [6] DIXMIER J, 1968, B SOC MATH FR, V96, P209
  • [7] Krichever I.M., 1977, Funct. Anal. Appl, V11, P12
  • [8] HOLOMORPHIC BUNDLES OVER ALGEBRAIC-CURVES AND NON-LINEAR EQUATIONS
    KRICHEVER, IM
    NOVIKOV, SP
    [J]. RUSSIAN MATHEMATICAL SURVEYS, 1980, 35 (06) : 53 - 79
  • [9] Mironov AE, 2009, SIB ELECTRON MATH RE, V6, P533
  • [10] Mironov A. E., 2014, Topology, Geometry, Integrable Systems and Mathematical Physics, P309