Abstract
The degree of spectral concentration at an eigenvalue λ0 embedded in a dense point spectrum is shown to depend on the extent to which λ0 is approximated by other eigenvalues whose eigenfunctions have appreciable overlap with the eigenvectors of λ0. The examples considered include rank one perturbations and time-periodic perturbation of Floquet operators of discrete system.
Supported by NSF Contract DMS-8801548.
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© 1990 Springer-Verlag
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Howland, J.S. (1990). Spectral concentration for dense point spectrum. In: Fujita, H., Ikebe, T., Kuroda, S.T. (eds) Functional-Analytic Methods for Partial Differential Equations. Lecture Notes in Mathematics, vol 1450. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0084894
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DOI: https://doi.org/10.1007/BFb0084894
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