2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/159979A pair of dual frames with almost exponentially localized elements (needlets) are constructed on $\RR_+^d$ based on Laguerre functions. It is shown that the Triebel-Lizorkin and Besov spaces induced by Laguerre expansions can be characterized in terms of respective sequence spaces that involve the needlet coefficients.42 pagesClassical Analysis and ODEsFunctional Analysis42B35, 42C10, 42C40text