Student Harmonic Analysis and PDE Seminar (HADES) - Note change in date and place: An Introduction to Time-Frequency Analysis through a Proof of Carleson's Theorem
Seminar | January 30 | 3:30-5 p.m. | 740 Evans Hall
Kevin O'Neill, UC Berkeley
Carleson's theorem (1966) states the Fourier series of an L^2 function converges to the original function almost everywhere. In this talk, we will go over the essentials of a proof of this theorem, emphasizing the concepts of orthogonality and respecting symmetries. The techniques found in this proof have given rise to the area of research known as time-frequency analysis and some time will be spent discussing related results such as boundedness of the bilinear Hilbert transform and quadratic Carleson's theorem.