RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
 General information Latest issue Archive Impact factor Subscription Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

 Sibirsk. Mat. Zh.: Year: Volume: Issue: Page: Find

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

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.

DOI: https://doi.org/10.17377/smzh.2015.56.304

Full text: PDF file (261 kB)
References: PDF file   HTML file

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

Bibliographic databases:

UDC: 517.98

Citation: V. N. Davletshina, “Commuting differential operators of rank $2$ with trigonometric coefficients”, Sibirsk. Mat. Zh., 56:3 (2015), 513–519; Siberian Math. J., 56:3 (2015), 405–410

Citation in format AMSBIB
\Bibitem{Dav15} \by V.~N.~Davletshina \paper Commuting differential operators of rank~$2$ with trigonometric coefficients \jour Sibirsk. Mat. Zh. \yr 2015 \vol 56 \issue 3 \pages 513--519 \mathnet{http://mi.mathnet.ru/smj2656} \crossref{https://doi.org/10.17377/smzh.2015.56.304} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=3442798} \elib{https://elibrary.ru/item.asp?id=24795702} \transl \jour Siberian Math. J. \yr 2015 \vol 56 \issue 3 \pages 405--410 \crossref{https://doi.org/10.1134/S0037446615030040} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000356826600004} \elib{https://elibrary.ru/item.asp?id=23984647} \scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84934928386} 

• http://mi.mathnet.ru/eng/smj2656
• http://mi.mathnet.ru/eng/smj/v56/i3/p513

 SHARE:

Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. V. S. Oganesyan, “On operators of the form $\partial_x^4+u(x)$ from a pair of commuting differential operators of rank 2 and genus $g$”, Russian Math. Surveys, 71:3 (2016), 591–593
2. A. E. Mironov, “Self-adjoint commuting differential operators of rank two”, Russian Math. Surveys, 71:4 (2016), 751–779
3. A. B. Zheglov, A. E. Mironov, B. T. Saparbayeva, “Commuting Krichever–Novikov differential operators with polynomial coefficients”, Siberian Math. J., 57:5 (2016), 819–823
4. A. E. Mironov, A. B. Zheglov, “Commuting ordinary differential operators with polynomial coefficients and automorphisms of the first Weyl algebra”, Int. Math. Res. Notices, 2016, no. 10, 2974–2993
5. V. Oganesyan, “Explicit characterization of some commuting differential operators of rank $2$”, Int. Math. Res. Notices, 2017, no. 6, 1623–1640
6. V. N. Davletshina, A. E. Mironov, “On commuting ordinary differential operators with polynomial coefficients corresponding to spectral curves of genus two”, Bull. Korean. Math. Soc., 54:5 (2017), 1669–1675
7. V. S. Oganesyan, “Commuting Differential Operators of Rank 2 with Rational Coefficients”, Funct. Anal. Appl., 52:3 (2018), 203–213
8. V. S. Oganesyan, “Alternative proof of Mironov's results on commuting self-adjoint operators of rank 2”, Siberian Math. J., 59:1 (2018), 102–106
9. V. S. Oganesyan, “The AKNS hierarchy and finite-gap Schrödinger potentials”, Theoret. and Math. Phys., 196:1 (2018), 983–995
10. V. Oganesyan, “Matrix commuting differential operators of rank 2 and arbitrary genus”, Int. Math. Res. Notices, 2019:3 (2019), 834–851
•  Number of views: This page: 192 Full text: 45 References: 24 First page: 16