MBOUP, Mamadou (Univ. Rene Descartes - Paris 5)

A Character-Automorphic Hardy Spaces Approach to Discrete-Time Scale-Invariant Systems

Scheduled for presentation during the Mini-Symposium "New directions and problems in operator theory and system theory" (MoA12), Monday, July 24, 2006, 11:40−12:05, Room 104b

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on April 18, 2024

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.