Zobrazeno 1 - 10
of 52
pro vyhledávání: '"Horozov, Emil"'
Autor:
Horozov, Emil, Yakimov, Milen
We develop a theory of Wilson's adelic Grassmannian ${\mathrm{Gr}}^{\mathrm{ad}}(R)$ and Segal-Wilson's rational Grasssmannian ${\mathrm{Gr}}^ {\mathrm{rat}}(R)$ associated to an arbitrary finite dimensional complex algebra $R$. We provide several eq
Externí odkaz:
http://arxiv.org/abs/2408.04355
Publikováno v:
In Journal of Approximation Theory January 2025 305
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 prove extensions of the three major results on algebras of commuting
Externí odkaz:
http://arxiv.org/abs/2108.12010
Autor:
Horozov, Emil
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 polynomials, but satisfying $d+2$-term recurrence relation, $d >1$. Any
Externí odkaz:
http://arxiv.org/abs/1904.08173
We initiate the study of a natural generalisation of the classical Bochner-Krall problem asking which linear ordinary differential operators possess sequences of eigenpolynomials satisfying linear recurrence relations of finite length; the classical
Externí odkaz:
http://arxiv.org/abs/1807.01558
Autor:
Horozov, Emil
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 differential operator. According to a classical theorem by Bochner the
Externí odkaz:
http://arxiv.org/abs/1609.06151
Autor:
Horozov, Emil
Publikováno v:
SIGMA 14 (2018), 063, 27 pages
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 differential operator. According to a famous theorem by Bochner they are the o
Externí odkaz:
http://arxiv.org/abs/1609.06157
Autor:
Horozov, Emil
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, Meixner and Kravchuk polynomial systems. The ideas behind our approach lie i
Externí odkaz:
http://arxiv.org/abs/1602.04343
Autor:
Horozov, Emil
Publikováno v:
SIGMA 12 (2016), 050, 14 pages
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 Laguerre polynomial systems. A third family, whose first member has been foun
Externí odkaz:
http://arxiv.org/abs/1512.03898
We prove a general theorem establishing the bispectrality of noncommutative Darboux transformations. It has a wide range of applications that establish bispectrality of such transformations for differential, difference and q-difference operators with
Externí odkaz:
http://arxiv.org/abs/1508.07879