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math.CA2020
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…
math-ph2020
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…