D-modules and Darboux transformations
solv-int
2007-05-23 v1 Quantum Algebra
Exactly Solvable and Integrable Systems
q-alg
Abstract
A method of G. Wilson for generating commutative algebras of ordinary differential operators is extended to higher dimensions. Our construction, based on the theory of D-modules, leads to a new class of examples of commutative rings of partial differential operators with rational spectral varieties. As an application, we briefly discuss their link to the bispectral problem and to the theory of lacunas.
Cite
@article{arxiv.solv-int/9710019,
title = {D-modules and Darboux transformations},
author = {Yu. Berest and A. Kasman},
journal= {arXiv preprint arXiv:solv-int/9710019},
year = {2007}
}
Comments
to appear Lett. Math. Phys