Commuting Krichever–Novikov differential operators with polynomial coefficients

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作者
A. B. Zheglov
A. E. Mironov
B. T. Saparbayeva
机构
[1] Moscow State University,
[2] Sobolev Institute of Mathematics Novosibirsk State University,undefined
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commuting differential operators;
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摘要
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 ci, there exist commuting nonselfadjoint operators of orders 4 and 6 with polynomial coefficients of arbitrary degree.
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页码:819 / 823
页数:4
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