Spectral measures for derivative powers via matrix-valued Clark theory

DOI10.1016/j.jmaa.2022.126275OpenAlexW3167716510MaRDI QIDQ2673005

Yanyan Li

Publication date: 13 June 2022

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

Full work available at URL: https://arxiv.org/abs/2106.04500

zbMATH Keywords

self-adjoint extensionsfinite-rank perturbationsClark theorymatrix-valued spectral measures

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Perturbation theory of linear operators (47A55) Boundary value problems for ordinary differential equations (34Bxx)

Related Items (1)

Spectral properties of singular Sturm-Liouville operators via boundary triples and perturbation theory

Cites Work

• Characterization of domains of self-adjoint ordinary differential operators
• On a theorem of Livsic
• Matrix-valued Aleksandrov-Clark measures and Carathéodory angular derivatives
• Boundary convergence of vector-valued pseudocontinuable functions
• Finite-dimensional perturbation and a representation of scattering operator
• Weyl-Titchmarsh theory for Sturm-Liouville operators with distributional potentials
• Isometric operators with equal deficiency indices, quasi-unitary operators
• On a class of linear operators in Hilbert space
• On Matrix-Valued Herglotz Functions
• Boundary Value Problems, Weyl Functions, and Differential Operators
• Characterization of self-adjoint domains for regular even order <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>C</mml:mi> </mml:mrow> </mml:math>-symmetric differential operators
• Singular boundary conditions for Sturm–Liouville operators via perturbation theory
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