3 citations · 4 across the 6 of their papers we have counts for
6 papers
On Extensions of a Theorem of Baxter
J. S. Geronimo, A. Martinez-Finkelshtein
We combine the Riemann-Hilbert approach with the techniques of Banach algebras to obtain an extension of Baxter's Theorem for polynomials orthogonal on the unit circle. This is acc…
Factorization of Multivariate Positive Laurent Polynomials
Jeffrey S. Geronimo, Ming-Jun Lai
Recently Dritschel proves that any positive multivariate Laurent polynomial can be factorized into a sum of square magnitudes of polynomials. We first give another proof of the Dri…
The Operator Valued Autoregressive Filter Problem and the Suboptimal Nehari Problem in Two Variables
J. S. Geronimo H. J. Woerdeman
Necessary and sufficient conditions are given for the solvability of the operator valued two-variable autoregressive filter problem. In addition, in the two variable suboptimal Neh…
Algebro-Geometric Solutions of a Discrete System Related to the Trigonometric Moment Problem
Jeffrey S. Geronimo, Fritz Gesztesy, Helge Holden
We derive theta function representations of algebro-geometric solutions of a discrete system governed by a transfer matrix associated with (an extension of) the trigonometric momen…
Asymptotics of q-difference equations
Stavros Garoufalidis, Jeffrey S. Geronimo
In this paper we develop an asymptotic analysis for formal and actual solutions of q-difference equations, under a regularity assumption. In particular, evaluations of regular solu…
If they are limit periodic?
J. Bellissard, J. Geronimo, A. Volberg +1
We prove a partial result concerning the long-standing problem on limit periodicity of the Jacobi matrix associated with the balanced measure on the Julia set of an expending polyn…