72 citations · 524 across the 41 of their papers we have counts for
3 papers · 1 filter
Polynomials with no zeros on a face of the bidisk
Jeffrey S. Geronimo, Plamen Iliev, Greg Knese
We present a Hilbert space geometric approach to the problem of characterizing the positive bivariate trigonometric polynomials that can be represented as the square of a two varia…
Fejér-Riesz factorizations and the structure of bivariate polynomials orthogonal on the bi-circle
Jeffrey S. Geronimo, Plamen Iliev
We give a complete characterization of the positive trigonometric polynomials Q(θ,ϕ) on the bi-circle, which can be factored as Q(θ,ϕ)=|p(e^{iθ},e^{iϕ})|^2 where p(z,w) is a polyno…
Orthogonality relations for bivariate Bernstein-Szegő measures
Jeffrey S. Geronimo, Plamen Iliev, Greg Knese
The orthogonality properties of certain subspaces associated with bivariate Bernstein-Szegő measures are considered. It is shown that these spaces satisfy more orthogonality relati…