Wavelet bases provide an efficient tool to represent images and sound signals using multiscale decompositions. However, it is known that wavelets cannot represent every type of function efficiently, and recently several generalized wavelet bases have been introduced to provide added flexibility. In this project Fourier analysis with generalized wavelet systems is studied. In particular, we study the properties and stability of brushlets, wavelet packets, wavelet bi-frames, and Gabor systems in various functions spaces.
|Effective start/end date||19/05/2010 → …|