Wavelet analysis on the circle

Matthias Holschneider (1)

1 CPT - Centre de Physique Théorique - UMR 7332

The construction of a wavelet analysis over the circle is presented. The spaces of infinitely times differentiable functions, tempered distributions, and square integrable functions over the circle are analyzed by means of the wavelet transform.

Domaines: Mathématiques [math]

Matthias Holschneider. Wavelet analysis on the circle. Journal of Mathematical Physics, 1990, 31 (39), ⟨10.1063/1.528825⟩. ⟨hal-01333726⟩