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Spectral Analysis of Daubechies Localization Operators

  • Kunio YoshinoEmail author
Conference paper
Part of the Operator Theory: Advances and Applications book series (OT, volume 245)

Abstract

The aim of this work is to study the properties of eigenvalues of Daubechies localization operators. We will show that Fredholm determinant of eigenvalues of Daubechies localization operators is Fourier–Laplace transform of hyperfunction supported by the origin.

Keywords

Daubechies localization operators Hermite functions spectral functions hyperfunctions. 

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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Setagaya-ku, TokyJapan

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