Spectral properties of differential-difference symmetrized operators

DOI10.1007/S00009-023-02380-8zbMath1525.47074OpenAlexW4361204984MaRDI QIDQ6042161

Krzystztof Stempak

Publication date: 16 May 2023

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-023-02380-8

zbMATH Keywords

weighted Sobolev spaceFriedrichs extensiondifferential-difference operatorselfadjoint extensionweak derivativesymmetrised operator

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of ordinary differential operators (47E05) Spectral theory of functional-differential operators (34K08)

Cites Work

• Unnamed Item
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• The Sturm-Liouville Friedrichs extension.
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• Potential and Sobolev spaces related to symmetrized Jacobi expansions
• Harmonic analysis associated with the Jacobi-Dunkl operator on \(-\frac{\pi}{2},\frac{\pi}{2}[\)]
• Spectral properties of ordinary differential operators admitting special decompositions
• Harmonic analysis operators related to symmetrized Jacobi expansions
• A symmetrized conjugacy scheme for orthogonal expansions
• Hilbert transform and related topics associated with Jacobi–Dunkl operators of compact and noncompact types
• POSITIVITY OF THE INTERTWINING OPERATOR AND HARMONIC ANALYSIS ASSOCIATED WITH THE JACOBI-DUNKL OPERATOR ON ${\mathbb R}$

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