On spectral theory for Schrödinger operators with operator-valued potentials

DOI10.1016/j.jde.2013.05.022zbMath1291.34139arXiv1301.0682OpenAlexW2963151045MaRDI QIDQ2434372

Maxim Zinchenko, Rudi Weikard, Friedrich Gesztesy

Publication date: 5 February 2014

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.0682

zbMATH Keywords

spectral theoryWeyl-Titchmarsh theoryoperator-valued ODEs

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Weyl theory and its generalizations for ordinary differential equations (34B20) General spectral theory of ordinary differential operators (34L05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10)

Related Items (9)

Principal Solutions Revisited ⋮ On a generalisation of Krein's example ⋮ An evaluation of powers of the negative spectrum of Schrödinger operator equation with a singularity at zero ⋮ Spatial asymptotics of Green's function and applications ⋮ Unitary equivalence of proper extensions of a symmetric operator and the Weyl function ⋮ A Jost-Pais-type reduction of Fredholm determinants and some applications ⋮ Donoghue-type \(m\)-functions for Schrödinger operators with operator-valued potentials ⋮ On the class of canonical systems corresponding to matrix string equations: general-type and explicit fundamental solutions and Weyl-Titchmarsh theory ⋮ Boundary triples and Weyl \(m\)-functions for powers of the Jacobi differential operator

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