Analysis (wavelets) Syllabus
Introduction. Review of Lp spaces and Fourier transforms.
Orthonormal bases, Riesz bases and frames.
Haar wavelets.
Multiresolution analysis.
Reproducing kernel Hilbert spaces.
Bandlimited functions and Shannon's theorem.
Continuous and discrete wavelet transforms.
Further wavelet constructions.

Recommended books

Ingrid Daubechies, Ten lectures on wavelets, SIAM.
C.K. Chui, An introduction to wavelets, Academic Press.
Gerald Kaiser, A friendly guide to wavelets, Birkhäuser.

Jonathan Partington

Last updated December 7th 2002