Position-Frequency Analysis and Phase Space

B. Torrésani (1)

1 CPT - Centre de Physique Théorique - UMR 6207

Continuous wavelet decompositions are described both from the position-frequency and position-scale points of view. These two approaches are illustrated by specific examples. A geometrical approach to the construction of wavelets associated with group representations is finally briefly described.

Domains: Mathematics [math]; Mathematical Physics [math-ph]

B. Torrésani. Position-Frequency Analysis and Phase Space. Bielefeld Encounters in Mathematics and Physics VIII: "Dynamics of Complex and Irregular Systems", Ph. Blanchard, L. Streit, M. Sirugue-Collin, D. Testard Dec 1991, Bielefeld, Germany. ⟨hal-01739652⟩