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 Mat. Zametki: Year: Volume: Issue: Page: Find

 Mat. Zametki, 2013, Volume 94, Issue 2, Pages 314–316 (Mi mz9339)

Brief Communications

On Commutative Subalgebras of the Weyl Algebra Related to Commuting Operators of Arbitrary Rank and Genus

O. I. Mokhov

M. V. Lomonosov Moscow State University

Keywords: commutative algebra, Weyl algebra, commuting operators.

DOI: https://doi.org/10.4213/mzm9339

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English version:
Mathematical Notes, 2013, 94:2, 298–300

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Document Type: Article

Citation: O. I. Mokhov, “On Commutative Subalgebras of the Weyl Algebra Related to Commuting Operators of Arbitrary Rank and Genus”, Mat. Zametki, 94:2 (2013), 314–316; Math. Notes, 94:2 (2013), 298–300

Citation in format AMSBIB
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• http://mi.mathnet.ru/eng/mz9339
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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, “Commuting differential operators of rank 2 and arbitrary genus $g$ with polynomial coefficients”, Russian Math. Surveys, 70:1 (2015), 165–167
2. V. N. Davletshina, “Self-Adjoint Commuting Differential Operators of Rank 2 and Their Deformations Given by Soliton Equations”, Math. Notes, 97:3 (2015), 333–340
3. V. N. Davletshina, “Commuting differential operators of rank $2$ with trigonometric coefficients”, Siberian Math. J., 56:3 (2015), 405–410
4. V. S. Oganesyan, “Common Eigenfunctions of Commuting Differential Operators of Rank $2$”, Math. Notes, 99:2 (2016), 308–311
5. V. S. Oganesyan, “Commuting Differential Operators of Rank 2 with Polynomial Coefficients”, Funct. Anal. Appl., 50:1 (2016), 54–61
6. 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
7. A. E. Mironov, “Self-adjoint commuting differential operators of rank two”, Russian Math. Surveys, 71:4 (2016), 751–779
8. 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
9. 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
10. V. Oganesyan, “Explicit characterization of some commuting differential operators of rank $2$”, Int. Math. Res. Notices, 2017, no. 6, 1623–1640
11. V. S. Oganesyan, “Commuting Differential Operators of Rank 2 with Rational Coefficients”, Funct. Anal. Appl., 52:3 (2018), 203–213
12. 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
13. V. S. Oganesyan, “The AKNS hierarchy and finite-gap Schrödinger potentials”, Theoret. and Math. Phys., 196:1 (2018), 983–995
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