Analytic continuation and applications of eigenvalues of Daubechies‘ localization operator

Kunio Yoshino

doi:10.4067/S0719-06462010000300013

Analytic continuation and applications of eigenvalues of Daubechies‘ localization operator

Kunio Yoshino yoshinok@tcu.ac.jp

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DOI:

https://doi.org/10.4067/S0719-06462010000300013

Abstract

In this paper we introduce generating functions of eigenvalues of Daubechies‘ localization operator, study their analytic properties and give analytic continuation of these eigenvalues. Making use of generating functions, we establish a reconstruction formula of symbol functions of Daubechies‘ localization operator with rotational invariant symbols.

Keywords

Hermite functions , Daubechies (localization) operator , Borel transform , asymptotic expansion

Kunio Yoshino Department of Natural Sciences, Faculty of Knowledge Engineering, Tokyo City University, Tokyo 158-8557, Japan.

Pages: 203–212
Date Published: 2010-10-01
Vol. 12 No. 3 (2010): CUBO, A Mathematical Journal

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Published

2010-10-01

How to Cite

[1]

K. Yoshino, “Analytic continuation and applications of eigenvalues of Daubechies‘ localization operator”, CUBO, vol. 12, no. 3, pp. 203–212, Oct. 2010.