72 citations · 145 across the 33 of their papers we have counts for
34 papers
A Fourier analysis approach to disprove the weak Shanks conjecture
Jeffrey S. Geronimo, Hugo J. Woerdeman
We derive formulas for the Fourier coefficients of , where , in terms of hypergeometric functions. Using these formulas we provide add…
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…
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…
The autoregressive filter problem for multivariable degree one symmetric polynomials
Jeffrey S. Geronimo, Hugo J. Woerdeman, Chung Y. Wong
The multivariable autoregressive filter problem asks for a polynomial without roots in the closed -disk based on prescribed Fourier coefficients of i…
Spectral density functions of bivariable stable polynomials
Jeffrey S. Geronimo, Hugo J. Woerdeman, Chung Y. Wong
The relationship between a stable multivariable polynomial and the Fourier coefficients of its spectral density function , is further investigated. In this paper…
Connection coefficients for ultraspherical polynomials with argument doubling and generalized bispectrality
Maxim Derevyagin, Jeffrey S. Geronimo
We start by presenting a generalization of a discrete wave equation that is particularly satisfied by the entries of the matrix coefficients of the refinement equation correspondin…