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arXiv · 2012.12980

Spectral density functions of bivariable stable polynomials

Jeffrey S. Geronimo·Hugo J. Woerdeman·Chung Y. Wong
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Abstract

The relationship between a stable multivariable polynomial $p(z)$ and the Fourier coefficients of its spectral density function $1/|p(z)|^2$, 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.

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Jeffrey S. Geronimo, Hugo J. Woerdeman, Chung Y. Wong. 2020-12-23. Spectral density functions of bivariable stable polynomials. https://arxiv.org/abs/2012.12980

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