Schur coefficients in several variables

DOI10.1016/j.jmaa.2005.06.068zbMath1160.32303OpenAlexW2032281673MaRDI QIDQ2492976

Yanyan Li

Publication date: 9 June 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.06.068

zbMATH Keywords

Schur coefficientsslice functionsmulti-dimensional digital filter stabilitymulti-dimensional Schur-Cohn test

Mathematics Subject Classification ID

Linear operator methods in interpolation, moment and extension problems (47A57) Moment problems and interpolation problems in the complex plane (30E05) Applications of operator theory in systems, signals, circuits, and control theory (47N70) Other generalizations of function theory of one complex variable (32A30)

Related Items (2)

Amœbas and structural stability of multidimensional systems: a test algorithm based on Monte Carlo integration ⋮ Stability and stabilisation of linear multidimensional discrete systems in the frequency domain

Cites Work

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• Schur parameters, factorization and dilation problems
• Positive extension, Fejér-Riesz factorization and autoregressive filters in two variables
• Extension of the schur-cohn stability test for 2-d ar quarter-plane model
• Some stability properties of two-dimensional linear shift-invariant digital filters
• A simple test for zeros of a complex polynomial in a sector

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