Acknowledgement
Supported by : Russian Foundation for Basic Research
References
- V. N. Davletshina, Commuting differential operators of rank two with trigonometric coefficients, Sib. Math. J. 56 (2015), no. 3, 405-410. https://doi.org/10.1134/S0037446615030040
- J. Dixmier, Sur les algebres de Weyl, Bull. Soc. Math. France 96 (1968), 209-242.
- I. M. Krichever, Commutative rings of ordinary linear differential operators, Functional Anal. Appl. 12 (1978), no. 3, 175-185. https://doi.org/10.1007/BF01681429
- I. M. Krichever and S. P. Novikov, Holomorphic bundles over algebraic curves and nonlinear equations, Russian Math. Surveys 35 (1980), no. 6, 47-68.
- A. E. Mironov, Self-adjoint commuting ordinary differential operators, Invent. Math. 197 (2014), no. 2, 417-431. https://doi.org/10.1007/s00222-013-0486-8
- A. E. Mironov, Periodic and rapid decay rank two self-adjoint commuting differential operators, Topology, geometry, integrable systems, and mathematical physics, 309-321, Amer. Math. Soc. Transl. Ser. 2, 234, Amer. Math. Soc., Providence, RI, 2014.
- A. E. Mironov and A. B. Zheglov, Commuting ordinary differential operators with polynomial coefficients and automorphisms of the first Weyl algebra, Int. Math. Res. Not. 2016 (2016), no. 10, 2974-2993. https://doi.org/10.1093/imrn/rnv218
- O. I. Mokhov, Commuting ordinary differential operators of arbitrary genus and arbitrary rank with polynomial coefficients, Topology, geometry, integrable systems, and mathematical physics, 323-336, Amer. Math. Soc. Transl. Ser. 2, 234, Amer. Math. Soc., Providence, RI, 2014.
- V. S. Oganesyan, Commuting differential operators of rank 2 and arbitrary genus g with polynomial coefficients, Russian Math. Surveys 70 (2015), no. 1, 165-167. https://doi.org/10.1070/RM2015v070n01ABEH004939
- V. S. Oganesyan, Commuting differential operators of rank 2 with polynomial coefficients, Functional Anal. Appl. 50 (2016), no. 1, 54-61. https://doi.org/10.1007/s10688-016-0128-1