no. 5-6
Complex Analysis/Theory of Signals
Wavelet frames with Laguerre functions
[Frames dʼondelettes et fonctions de Laguerre]

Présenté par : the Editorial Board

Abreu, Luis Daniel1
1 CMUC, Departamento de Matemática da Universidade de Coimbra, 3001-454 Coimbra, Portugal
Comptes Rendus. Mathématique, Tome 349 (2011) no. 5-6, pp. 255-258.

Soit le fonction Φnα de la forme FΦnα(t)=t12lnα(2t), ou lnα est une fonction de Laguerre et Γ(a,b)={(ambk,am)}k,m∈Z est une reseau hyperbolique. Notre resultat principal dit que, si lʼ ensemble dʼondelettes W(Φnα,Γ(a,b)) est un frame pour H2(C+), alors, bloga<4πn+1α+1.

Consider the functions Φnα defined as FΦnα(t)=t12lnα(2t), where lnα is a Laguerre function and Γ(a,b)={(ambk,am)}k,m∈Z is a hyperbolic lattice. We prove that, if the wavelet system W(Φnα,Γ(a,b)) is a frame of H2(C+), then bloga<4πn+1α+1.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2011.02.013
Abreu, Luis Daniel 1

1 CMUC, Departamento de Matemática da Universidade de Coimbra, 3001-454 Coimbra, Portugal 
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Abreu, Luis Daniel. Wavelet frames with Laguerre functions. Comptes Rendus. Mathématique, Tome 349 (2011) no. 5-6, pp. 255-258. doi : 10.1016/j.crma.2011.02.013. http://www.numdam.org/articles/10.1016/j.crma.2011.02.013/

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☆ This research was partially supported by CMUC/FCT and FCT project “Frame Design” PTDC/MAT/114394/2009, POCI 2010 and FSE.