Fourier Analysis and Groups

Alex Martin Heaton
University of Wisconsin-Milwaukee
PhD Graduate Student

“In this introductory and elementary-level talk we will see functions on the circle, functions on the real line, functions on Euclidean space, functions on finite sets admitting different group structures, and even the Quantum Fourier Transform, which, if ever a working quantum computer is built, can be used to break RSA encryption. Our goal is to see how groups play a role in finding the right basis functions”.