Course Archives Theoretical Statistics and Mathematics Unit

Course: Fourier Analysis Time: Currently not offered Level: Postgraduate

Syllabus Past Exams Syllabus: Fourier and Fourier-Stieltjes' series, summability kernels, convergence tests. Fourier transforms, the Schwartz space, Fourier Inversion and Plancherel theorem. Maximal functions and boundedness of Hilbert transform. Paley-Wiener Theorem. Poisson summation formula, Heisenberg uncertainty Principle, Wiener's Tauberian theorem. Introduction to wavelets and multi-resolution analysis. Suggested Texts : 1. E. M. Stein and R. Shakarchi, Fourier Analysis: An Introduction, Princeton UniversityPress (2003). 2. Y. Katznelson, An introduction to harmonic analysis, Dover Publications (1976). 3. E.M. Stein and G.Weiss, Introduction to Fourier Analysis on Euclidean Spaces, PrincetonUniversity Press (1971). 4. E. Hernandez and G. Weiss, A first course on wavelets, Studies in Advanced Mathematics.CRC Press (1996). Top of the page Past Exams

Midterm 05.pdf 06.pdf 09.pdf 11.pdf 13.pdf 15.pdf 17.pdf 19.pdf 20.pdf Solutions 13.pdf 15.pdf 17.pdf 19.pdf Semestral 05.pdf 06.pdf 09.pdf 11.pdf 13.pdf 15.pdf 17.pdf 19.pdf 21.pdf Solutions 13.pdf 15.pdf Supplementary and Back Paper 15.pdf 17.pdf 19.pdf 21.pdf Top of the page

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