66 citations · 184 across the 18 of their papers we have counts for
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Adelic and Rational Grassmannians for finite dimensional algebras
Emil Horozov, Milen Yakimov
We develop a theory of Wilson's adelic Grassmannian and Segal-Wilson's rational Grasssmannian associated to an a…
-Orthogonal Analogs of Classical Orthogonal Polynomials
Emil Horozov
Classical orthogonal polynomial systems of Jacobi, Hermite and Laguerre have the property that the polynomials of each system are eigenfunctions of a second order ordinary differen…
Vector orthogonal polynomials with Bochner's property
Emil Horozov
Classical orthogonal polynomial systems of Jacobi, Hermite, Laguerre and Bessel have the property that the polynomials of each system are eigenfunctions of a second order ordinary…
Automorphisms of algebras and Bochner`s property for discrete vector orthogonal polynomials
Emil Horozov
We construct new families of discrete vector orthogonal polynomials that have the property to be eigenfunctions of some difference operator. They are extensions of Charlier, Meixne…
Automorphisms of Algebras and Bochner's Property for Vector Orthogonal Polynomials
Emil Horozov
We construct new families of vector orthogonal polynomials that have the property to be eigenfunctions of some differential operator. They are extensions of the Hermite and Laguerr…
Noncommutative bispectral Darboux transformations
Joel Geiger, Emil Horozov, Milen Yakimov
We prove a general theorem establishing the bispectrality of noncommutative Darboux transformations. It has a wide range of applications that establish bispectrality of such transf…