Spectral density functions of bivariable stable polynomials
Classical Analysis and ODEs
2020-12-25 v1
Abstract
The relationship between a stable multivariable polynomial and the Fourier coefficients of its spectral density function , is further investigated. In this paper we focus on the radial asymptotics of the Fourier coefficients for a specific choice of a two variable polynomial. Hypergeometric functions appear in the analysis, and new results are derived for these as well.
Cite
@article{arxiv.2012.12980,
title = {Spectral density functions of bivariable stable polynomials},
author = {Jeffrey S. Geronimo and Hugo J. Woerdeman and Chung Y. Wong},
journal= {arXiv preprint arXiv:2012.12980},
year = {2020}
}