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q-alg1997
Automorphisms of the Weyl algebra and bispectral operators
B. Bakalov, E. Horozov, M. Yakimov
In our previous paper q-alg/9605011 we proposed several algebraic methods for constructing new solutions to the bispectral problem. In the present note the corresponding eigenfunct…
q-alg1996★ 9 cited
Highest weight modules of W_{1+infty}, Darboux transformations and the bispectral problem
B. Bakalov, E. Horozov, M. Yakimov
We announce a systematic way for constructing bispectral algebras of commuting differential operators of any rank N. It enables us to obtain all previously known classes and exampl…