Caltech/UCLA Joint Analysis Seminar

This talk will be a brief survey on the history of some objects related with the Riemann zeta-function and his study via Fourier analysis. The machinery that appears here will be bandlimited approximations that solve the Beurling-Selberg extremal problem and the classical resonance method. In the final part, we will show recent bounds of some objects that study the distribution of zeros of the Riemann zeta-function, using functions that have Fourier transform eventually non-positive.