\(\mathcal{D}\)-modules and Darboux transformations

DOI10.1023/A:1007436917801zbMath0979.13025arXivsolv-int/9710019OpenAlexW2997649467MaRDI QIDQ1386551

Alex Kasman, Yuri Yu. Berest

Publication date: 29 November 2001

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/solv-int/9710019

zbMATH Keywords

bispectral problemlacunascommutative rings of partial differential operatorsrational spectral varieties

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Commutative rings of differential operators and their modules (13N10) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items (7)

Quasi-holonomic modules in positive characteristic ⋮ Deformed Calogero-Moser operators and ideals of rational Cherednik algebras ⋮ A noncommutative version of the bispectral problem. ⋮ Surprising examples of nonrational smooth spectral surfaces ⋮ Commuting differential operators and higher-dimensional algebraic varieties ⋮ Commutative partial differential operators ⋮ Kernel inspired factorizations of partial differential operators

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