Stable symmetric polynomials and the Schur-Agler class

zbMath1278.47024arXiv1008.4560MaRDI QIDQ358944

Greg Knese

Publication date: 9 August 2013

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.4560

zbMATH Keywords

multivariable polynomialsAgler denominatorsmulti-affine symmetric polynomialsstable polynomials

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Linear operator methods in interpolation, moment and extension problems (47A57) Fourier series and coefficients in several variables (42B05)

Related Items (5)

On the parametric representation of univalent functions on the polydisc ⋮ Norm-constrained determinantal representations of multivariable polynomials ⋮ Singularities of rational inner functions in higher dimensions ⋮ A note on polydegree \((n, 1)\) rational inner functions, slice matrices, and singularities ⋮ Schur-Agler class rational inner functions on the tridisk

Cites Work

• Unnamed Item
• Rational inner functions in the Schur-Agler class of the polydisk
• Multidimensional circuit synthesis and multivariable dilation theory
• The Lee--Yang and Pólya--Schur programs. I: Linear operators preserving stability
• Characterization of Lee-Yang polynomials
• Synthesis of two-dimensional lossless m-ports with prescribed scattering matrix
• Scattering systems with several evolutions and multidimensional input/state/output systems
• Positive extension, Fejér-Riesz factorization and autoregressive filters in two variables
• Multivariate stable polynomials: theory and applications
• Bernstein-Szeg\"o measures on the two dimensional torus
• The Lee‐Yang and Pólya‐Schur programs. II. Theory of stable polynomials and applications
• Ando's theorem and sums of squares

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