66 citations · 184 across the 18 of their papers we have counts for
20 papers
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…
A Burchnall-Chaundy-Krichever Theory for Fractional Differential Operators
W. Riley Casper, Emil Horozov, Plamen Iliev +1
Fractional differential (and difference) operators play a role in a number of diverse settings: integrable systems, mirror symmetry, Hurwitz numbers, the Bethe ansatz equations. We…
d-orthogonal polynomials, Toda Lattice and Virasoro symmetries
Emil Horozov
The subject of this paper is a connection between d-orthogonal polynomials and the Toda lattice hierarchy. In more details we consider some polynomial systems similar to Hermite po…
In search of higher Bochner theorem
Emil Horozov, Boris Shapiro, Milos Tater
We initiate the study of a natural generalisation of the classical Bochner-Krall problem asking which linear ordinary differential operators possess sequences of eigenpolynomials s…
-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…