Analysis (wavelets) Syllabus
Review of Lp spaces and Fourier transforms.
Orthonormal bases, Riesz bases and frames.
Reproducing kernel Hilbert spaces.
Bandlimited functions and Shannon's theorem.
Continuous and discrete wavelet transforms.
Further wavelet constructions.
Ingrid Daubechies, Ten lectures on wavelets, SIAM.
C.K. Chui, An introduction to wavelets, Academic Press.
Gerald Kaiser, A friendly guide to wavelets, Birkhäuser.
December 7th 2002