Gaussian Subordination for the Beurling-Selberg Extremal Problem

ANALYSIS MATH-PHYSICS SEMINAR
Topic:Gaussian Subordination for the Beurling-Selberg Extremal Problem
Speaker:Emanuel Carneiro
Affiliation:University of Texas at Austin and Member, School of Mathematics
Date:Friday, February 12
Time/Room:2:00pm - 3:00pm/S-101

In this talk I will go over a new approach to the Beurling-Selberg extremal problem for even functions based on the solution for the Gaussian and tempered distribution arguments. This provides interesting applications to analytic number theory, including Hilbert-type inequalities and improved constants on bounds for the Riemann zeta function on the critical strip, assuming the Riemann Hypothesis.