ABSTRACT

During the past decade, wavelets have evolved from a trendy field of study to a well established minor branch of mathematical analysis. Particularly in its early stages of development, the importance of the field was overstated by scientific magazines as well as overzealous scientists. However, one of the claims which has stood on solid ground and has led to new technologies is:

.. the wavelet transform is a tool that cuts up data or func­ tions or operators into different frequency components, and then studies each component with a resolution matched to its scale” - Daubechies [19].