We will discuss reproducing formulas associated to non square integrable irreducible representations of semidirect products. The main sources of this degeneracy are the zero measure of dual orbits, and the noncompactness of stabilizers. We will show how to recover L2 structures without compromising the group structure for general scalar representations, and characterize reproducing formulas for vector valued representations. Applications to quasi-regular representations of anisotropic group orbits will be discussed.

This presentation is part of Minisymposium “MS69 - Anisotropic multi scale methods and biomedical imaging”
organized by: Davide Barbieri (Universidad Autonoma de Madrid) , Demetrio Labate (University of Houston) .

Authors:

Davide Barbieri (Universidad Autonoma de Madrid)

Keywords:

harmonic analysis, image reconstruction, image representation, wavelets