Spectral density functions of bivariable stable polynomials
Spectral density functions of bivariable stable polynomials
复制标题
双变量稳定多项式的谱密度函数
DOI：
--
复制
发表时间：
2020
期刊：
影响因子：
--
通讯作者：
Chung Y. Wong
中科院分区：
文献类型：
--
作者：
J. Geronimo;H. Woerdeman;Chung Y. Wong
The relationship between a stable multivariable polynomial p(z) and the Fourier coefficients of its spectral density function 1/|p(z)|2documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$1/|p(z)|^2$$end{document}, 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.
The relationship between a stable multivariable polynomial p(z) and the Fourier coefficients of its spectral density function 1/|p(z)|2documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$1/|p(z)|^2$$end{document}, 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.