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Journal article
Spectral density functions of bivariable stable polynomials
The Ramanujan journal, v 56(1), pp 265-295
01 Oct 2021
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Abstract
The relationship between a stable multivariable polynomial p(z) and the Fourier coefficients of its spectral density function 1/vertical bar p(z)vertical bar(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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Details
- Title
- Spectral density functions of bivariable stable polynomials
- Creators
- Jeffrey S. Geronimo - Georgia Institute of TechnologyHugo J. Woerdeman - Drexel UniversityChung Y. Wong - County College of Morris
- Publication Details
- The Ramanujan journal, v 56(1), pp 265-295
- Publisher
- Springer Nature
- Number of pages
- 31
- Grant note
- DMS 2000037 / National Science Foundation; National Science Foundation (NSF) 355645 / Simons Foundation
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000664840400001
- Scopus ID
- 2-s2.0-85108594167
- Other Identifier
- 991019169683304721
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- Collaboration types
- Domestic collaboration
- Web of Science research areas
- Mathematics