Representation results for operators generated by quasi-differential multi-interval system in a Hilbert direct sum space

DOI10.1216/rmjm/1181069476zbMath1156.34069OpenAlexW1993050209MaRDI QIDQ2477850

Maksim Sokolov

Publication date: 14 March 2008

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1181069476

zbMATH Keywords

multiplicitySchrödinger operatorspectral representationunitary transformationcyclic vectorvector operatorquasi-differential operatorordered representation

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of ordinary differential operators (47E05) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items (1)

1-D Schrödinger operators with local point interactions on a discrete set

Cites Work

• On the essential spectra of regularly solvable operators in the direct sum spaces
• On the spectra of non-selfadjoint differential operators and their adjoints in direct sum spaces
• Multi-interval linear ordinary boundary value problems and complex symplectic algebra
• Linear Operators Generated by a Countable Number of Quasi-differential Expressions
• Linear quasi-differential operators in locally integrable spaces on the real line
• On the inverse scattering problem on branching graphs
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