Comments on the paper "The Mexican Hat Wavelet Family. Application to point source detection in CMB maps" by J. Gonzalez-Nuevo et al. (astro-ph/0604376)

The arguments presented by Gonzalez-Nuevo et. al (2006) in favour of the Mexican Hat Wavelet Family (MHWF) are critically discussed here. These authors allege the optimal properties of this new class of filters in the detection of point sources embedded in a noise background but their claim is not based upon a solid mathematical foundation and proof.