Spectrally determined singularities in a potential

DOI10.1080/03605309508821143zbMath0837.34036OpenAlexW1599638107MaRDI QIDQ4850964

Constantine J. Callias

Publication date: 13 May 1996

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309508821143

zbMATH Keywords

potentialasymptotic expansionspectrumisolated singularityself-adjoint Sturm-Liouville operator

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) General spectral theory of ordinary differential operators (34L05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Inverse problems involving ordinary differential equations (34A55)

Related Items (1)

Spectrally determined singularities in a potential

Cites Work

• The heat equation with singular coefficients. I: Operators of the form \(- d^ 2/dx^ 2+k/x^ 2\) in dimension 1
• Regular singular asymptotics
• Compact isospectral sets of surfaces
• The spectral class of the quantum-mechanical harmonic oscillator
• Inverse spectral theory for a singular Sturm-Liouville operator on \([0,1\)]
• On the existence of small-time heat expansions for operators with irregular singularities in the coefficients
• The resolvent and the heat kernel for some singular boundary problems
• Spectrally determined singularities in a potential
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