Commuting differential operators of rank 2 with trigonometric coefficients

DOI10.1134/S0037446615030040zbMath1329.13042OpenAlexW1127177376MaRDI QIDQ498226

V. N. Davletshina

Publication date: 28 September 2015

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446615030040

zbMATH Keywords

commuting differential operatorstheory of spectral curves

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Relationships between algebraic curves and integrable systems (14H70) Commutative rings of differential operators and their modules (13N10)

Related Items (5)

The AKNS hierarchy and finite-gap Schrödinger potentials ⋮ On commuting ordinary differential operators with polynomial coefficients corresponding to spectral curves of genus two ⋮ Alternative proof of Mironov's results on commuting self-adjoint operators of rank 2 ⋮ Commuting Krichever-Novikov differential operators with polynomial coefficients ⋮ Commuting differential operators of rank 2 with rational coefficients

Cites Work

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• COMMUTING DIFFERENTIAL OPERATORS OF RANK 3, AND NONLINEAR DIFFERENTIAL EQUATIONS
• Commutative rings of ordinary linear differential operators
• A ring of commuting differential operators of rank 2 corresponding to a curve of genus 2
• Sur les algèbres de Weyl
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• On commuting differential operators of rank 2

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