On the Lax-Phillips scattering matrix of the abstract wave equation

DOI10.1215/17358787-2018-0048zbMath1482.47020arXiv1809.05489OpenAlexW2891691923WikidataQ128319216 ScholiaQ128319216MaRDI QIDQ1738187

M. Gawlik, A. Główczyk, Sergei Kuzhel

Publication date: 29 March 2019

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

Full work available at URL: https://arxiv.org/abs/1809.05489

zbMATH Keywords

scattering matrixinner functionLax-Phillips scattering approachnoncyclic functionsimple maximal symmetric operator

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Abstract hyperbolic equations (35L90) Scattering theory of linear operators (47A40) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20)

Related Items (2)

Phillips symmetric operators and functional calculus of maximal symmetric operators ⋮ On the S-matrix of Schrödinger operator with nonlocal δ-interaction

Cites Work

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• Nondegenerate unitary couplings of semunitary operators
• Cyclic vectors and invariant subspaces of the backward shift operator
• Harmonic analysis of operators on Hilbert space
• An Introduction to Operators on the Hardy-Hilbert Space
• Scattering Theory for Automorphic Functions. (AM-87)
• On Conditions for the Applicability of the Lax–Phillips Scattering Scheme to the Investigation of an Abstract Wave Equation

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