Fourier Analysis

Reading Materials:

Harmonic Analysis and Applications, J. J. Benedetto: [Part 1], [Part 2], [Part 3].

Functional Analysis and Fourier Analysis, J. J. Benedetto: [Part1], [Part2].

Notes: The book, Harmonic Analysis and Applications, was published by CRC Press in 1997. The material, Functional Analysis and Fourier Analysis, was excerpted from Integration and Modern Analysis, written with Wojtek Czaja and published by Springer-Birkhauser in 2009. There will also be material on sampling theory, the Poisson summation formula, and the role of sampling in direct computation of Fourier transforms. Finally, there will be an extensive list of possible projects.

Lectures:

L1-L4 , L5