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Spectral concentration for dense point spectrum

Part of the Lecture Notes in Mathematics book series (LNM,volume 1450)

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.

Keywords

  • Measure Zero
  • Point Spectrum
  • Spectral Concentration
  • Pure Point
  • Compact Perturbation

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53393-1

  • Online ISBN: 978-3-540-46818-9

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