Resumen

YOSHINO, KUNIO. Analytic Continuation and Applications of Eigenvalues of Daubechies' Localization Operator. Cubo [online]. 2010, vol.12, n.3, pp. 203-212. ISSN 0719-0646.  doi: 10.4067/S0719-06462010000300013.

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.

Palabras clave : Hermite functions; Daubechies (localization) operator; Borel transform; asymptotic expansion.