Extensions of a minimal third-order formally symmetric operator

DOI10.1007/S40840-018-0696-8zbMath1441.47056OpenAlexW2898420417MaRDI QIDQ2302036

Ekin Ugurlu

Publication date: 25 February 2020

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-018-0696-8

zbMATH Keywords

spectral theoryextensionLax-Phillips scattering theorythird order operatorSz.-Nagy-Foiaş characteristic functions

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Dilations, extensions, compressions of linear operators (47A20) Linear boundary value problems for ordinary differential equations (34B05) Scattering theory of linear operators (47A40) Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. (47A48)

Related Items (5)

A class of dissipative differential operators of order three ⋮ Scattering and characteristic functions of a dissipative operator generated by a system of equations ⋮ On a fifth-order nonselfadjoint boundary value problem ⋮ Singular dissipative third-order operator and its characteristic function ⋮ THIRD ORDER BOUNDARY VALUE PROBLEM WITH FINITE SPECTRUM ON TIME SCALES

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