Besov Norms in Terms of the Continuous Wavelet Transform.
 Application to Structure Functions

  Valerie Perrier and Claude Basdevant


The continuous wavelet transform is extended to $L^p$ spaces and an inversion formula is demonstrated. From this the Besov spaces can be characterized by the behaviour at small scales of the wavelet coefficients. These results apply to the measurement of structure functions.


Mathematical Models and Methods in Applied Sciences, vol. 6(5), pp. 649-664 (1996) 
Fichier ps comprimé