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.
@article{1400,
title = {Analytic Continuation and Applications of Eigenvalues of Daubechies' Localization Operator},
journal = {CUBO, A Mathematical Journal},
volume = {12},
year = {2010},
language = {en},
url = {http://dml.mathdoc.fr/item/1400}
}
Yoshino, Kunio. Analytic Continuation and Applications of Eigenvalues of Daubechies’ Localization Operator. CUBO, A Mathematical Journal, Tome 12 (2010) . http://gdmltest.u-ga.fr/item/1400/