11 citations · 20 across the 3 of their papers we have counts for
3 papers
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…
hep-th1995★ 11 cited
Tau-functions as highest weight vectors for W_{1+infty} algebra
B. Bakalov, E. Horozov, M. Yakimov
For each r = (r_1, r_2,...,r_N) we construct a highest weight module M_r of the Lie algebra W_{1+infty}. The highest weight vectors are specific tau-functions of the N-th Gelfand--…