Analytic continuation and applications of eigenvalues of Daubechies’ localization operator
Author
Yoshino, Kunio
Full text
https://revistas.ufro.cl/ojs/index.php/cubo/article/view/140010.4067/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.