Smoothed Affine Wigner Transform

Agissilaos Athanassoulis (1) , Thierry Paul (1)

1 CMLS - Centre de Mathématiques Laurent Schwartz

We study a generalization of Husimi function in the context of wavelets. This leads to a nonnegative density on phase-space for which we compute the evolution equation corresponding to a SchrÄodinger equation.

Domaines: Equations aux dérivées partielles [math.AP]

Agissilaos Athanassoulis, Thierry Paul. Smoothed Affine Wigner Transform. Applied and Computational Harmonic Analysis, 2010, 28 (3), pp.313-319. ⟨10.1016/j.acha.2010.03.001⟩. ⟨hal-00496372⟩