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A character-automorphic Hardy spaces approach to discrete-time scale-invariant systems

Mamadou Mboup 1
1 ALIEN - Algebra for Digital Identification and Estimation
Inria Lille - Nord Europe, Inria Saclay - Ile de France, Centrale Lille, X - École polytechnique, CNRS - Centre National de la Recherche Scientifique : UMR8146
Abstract : We define the scale translation in discrete-time via the action of the group of automorphisms of the disk. Two important tools that we will use are the theory of automorphic functions and the theory of reproducing kernel Hilbert spaces. When the group is Fuchsian and of Widom type, we present a class of signals and systems which are both discrete-scale and discrete-time stationary. Finally a class of digital self-similar signals and systems is presented.
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Submitted on : Wednesday, December 13, 2006 - 2:43:16 PM
Last modification on : Friday, February 4, 2022 - 3:19:32 AM
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  • HAL Id : inria-00120157, version 1



Mamadou Mboup. A character-automorphic Hardy spaces approach to discrete-time scale-invariant systems. 2006. ⟨inria-00120157⟩



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