Harmonic Analysis: Schwerte Functions

This lecture covers the concept of Schwerte functions in harmonic analysis, focusing on their properties and applications. The instructor introduces the notion of compactly supported functions and their role in defining Schwerte functions. Various theorems related to Laplace and Fourier transforms are discussed, emphasizing the importance of compact support. The lecture also delves into the convergence of functions and the Hilbert transform, showcasing how Schwerte functions can be used to analyze higher-dimensional theories.