Email this article Commuting Krichever–Novikov differential operators with polynomial coefficients
- Authors: Zheglov A.B.1, Mironov A.E.2, Saparbayeva B.T.2
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Affiliations:
- Moscow State University
- Sobolev Institute of Mathematics Novosibirsk State University
- Issue: Vol 57, No 5 (2016)
- Pages: 819-823
- Section: Article
- URL: https://journal-vniispk.ru/0037-4466/article/view/170700
- DOI: https://doi.org/10.1134/S0037446616050104
- ID: 170700
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Abstract
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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About the authors
A. B. Zheglov
Moscow State University
Author for correspondence.
Email: azheglov@mech.math.msu.su
Russian Federation, Moscow
A. E. Mironov
Sobolev Institute of Mathematics Novosibirsk State University
Email: azheglov@mech.math.msu.su
Russian Federation, Novosibirsk
B. T. Saparbayeva
Sobolev Institute of Mathematics Novosibirsk State University
Email: azheglov@mech.math.msu.su
Russian Federation, Novosibirsk
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