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