Geodesic Beams in Eigenfunction Analysis - Synthesis Lectures on Mathematics & Statistics 1st ed. 2023 edition

This book discusses the modern theory of Laplace eigenfunctions through the lens of a new tool called geodesic beams. The authors provide a brief introduction to the theory of Laplace eigenfunctions followed by an accessible treatment of geodesic beams and their applications to sup norm estimates, L^p estimates, averages, and Weyl laws.