Lax-Phillips scattering and conservative linear systems: a Cuntz-algebra multidimensional setting

DOI10.1090/memo/0837zbMath1100.47008OpenAlexW1975413017MaRDI QIDQ5713277

Publication date: 13 December 2005

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/memo/0837

zbMATH Keywords

transfer function Cuntz algebra functional model scattering system

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Abstract operator algebras on Hilbert spaces (47L30) General theory of (C^*)-algebras (46L05) Applications of operator theory in systems, signals, circuits, and control theory (47N70) Canonical models for contractions and nonselfadjoint linear operators (47A45) Scattering theory of linear operators (47A40) Formal power series rings (13F25) Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. (47A48) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

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