On the location of spectral concentration for perturbed discrete spectra

DOI10.1112/S0025579300007646zbMath0959.34068MaRDI QIDQ4494724

Michael S. P. Eastham

Publication date: 8 August 2000

Published in: Mathematika (Search for Journal in Brave)

zbMATH Keywords

Sturm-Liouville operatorspectral functionspectral concentration

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) General spectral theory of ordinary differential operators (34L05) General theory of ordinary differential operators (47E05) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

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Cites Work

• Unnamed Item
• The mathematical theory of resonances whose widths are exponentially small
• Lower bounds on width of Stark resonances in one dimension
• Bounded solutions and absolute continuity of Sturm-Liouville operators
• Spectral concentration and rapidly decaying potentials
• Spectral concentration and perturbed discrete spectra
• Introduction to spectral theory. With applications to Schrödinger operators
• The asymptotic form of the spectral function in Sturm–Liouville problems with a large potential like −x^c(c ≦ 2)

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