5 citations · 9 across the 7 of their papers we have counts for
10 papers · 1 filter
Orthogonal polynomials in several non-commuting variables. II
T. Banks, T. Constantinescu
In this paper we continue to investigate a certain class of Hankel-like positive definite kernels using their associated orthogonal polynomials. The main result of this paper is ab…
Tensor algebras and displacement structure. IV. Invariant kernels
T. Banks, T. Constantinescu, Nermine El-Sissi
In this paper we investigate the class of invariant positive definite kernels on the free semigroup on N generators. We provide a combinatorial description of the positivity of the…
Relations on noncommutative variables and associated orthogonal polynomials
T. Banks, T. Constantinescu, J. L. Johnson
This semi-expository paper surveys results concerning three classes of orthogonal polynomials: in one non-hermitian variable, in several isometric non-commuting variables, and in s…
Tensor Algebras and Displacement Structure. III. Asymptotic properties
M. Barakat, T. Constantinescu
We continue to investigate some classes of Szegö type polynomials in several variables. We focus on asymptotic properties of these polynomials and we extend several classical resul…
Orthogonal polynomials in several variables. I
T. Constantinescu
In this paper we introduce and discuss some classes of orthogonal polynomials in several non-commuting variables. The emphasis is on a non-commutative version of the orthogonal pol…
Tensor algebras and displacement structure. II. Noncommutative Szego polynomials
T. Constantinescu, J. L. Johnson
In this paper we continue to explore the connection between tensor algebras and displacement structure. We focus on recursive orthonormalization and we develop an analogue of the S…