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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 2015 Volume 56, Number 3, Pages 513–519 (Mi smj2656)

This article is cited in 10 papers

Commuting differential operators of rank $2$ with trigonometric coefficients

V. N. Davletshinaab

a Novosibirsk State University, Novosibirsk, Russia
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia

Abstract: Some examples are constructed of commuting rank $2$ self-adjoint differential operators of orders $4$ and $4g+2$ with trigonometric coefficients.

Keywords: theory of spectral curves, commuting differential operators.

UDC: 517.98

Received: 17.02.2015

DOI: 10.17377/smzh.2015.56.304


 English version:
Siberian Mathematical Journal, 2015, 56:3, 405–410

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© Steklov Math. Inst. of RAS, 2024