Commuting Krichever–Novikov differential operators with polynomial coefficients

A. B. Zheglov; A. E. Mironov; B. T. Saparbayeva

doi:10.1134/S0037446616050104

Commuting Krichever–Novikov differential operators with polynomial coefficients

作者: Zheglov A.B.¹, Mironov A.E.², Saparbayeva B.T.²
隶属关系:
1. Moscow State University
2. Sobolev Institute of Mathematics Novosibirsk State University
期: 卷 57, 编号 5 (2016)
页面: 819-823
栏目: Article
URL: https://journals.rcsi.science/0037-4466/article/view/170700
DOI: https://doi.org/10.1134/S0037446616050104
ID: 170700

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详细

Under study are some commuting rank 2 differential operators with polynomial coefficients. We prove that, for every spectral curve of the form w² = z³+c₂z2+c₁z+c₀ with arbitrary coefficients c_i, there exist commuting nonselfadjoint operators of orders 4 and 6 with polynomial coefficients of arbitrary degree.