72 citations · 524 across the 41 of their papers we have counts for
41 papers
Gaudin models for some classical multivariate distributions
Plamen Iliev
Representations of the Kohno-Drinfeld Lie algebra associated with several classical multivariate distributions have played an important role in recent developments in the theory of…
Compactly supported, orthogonal, continuous piecewise polynomial multiresolution analysis
Lidia Fernández, Jeffrey S. Geronimo, Plamen Iliev
We present explicit representations in terms of hypergeometric functions for the scaling functions in the orthogonal multiresolution analyses associated with piecewise contin…
Superspace realizations of the Bannai-Ito algebra
N. Crampe, H. De Bie, P. Iliev +1
A model of the Bannai-Ito algebra in a superspace is introduced. It is obtained from the three-fold tensor product of the basic realization of the Lie superalgebra in te…
Gaudin model for the multinomial distribution
Plamen Iliev
The goal of the paper is to analyze a Gaudin model for a polynomial representation of the Kohno-Drinfeld Lie algebra associated with the multinomial distribution. The main result i…
Bernstein-Szegő measures in the plane
Jeffrey S. Geronimo, Plamen Iliev
We define a class of Bernstein-Szegő measures on and we establish their spectral properties, providing a natural extension of the one-dimensional theory. We also der…
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…