Date of Award
Master of Arts in Mathematics
First Reader/Committee Chair
I give an overview of the basic theory of Hilbert spaces necessary to understand the convergence of the Fourier series for square integrable functions. I state the necessary theorems and definitions to understand the formulations of the problem in a Hilbert space framework, and then I give some applications of the theory along the way.
Harris, Terri Joan Mrs., "HILBERT SPACES AND FOURIER SERIES" (2015). Electronic Theses, Projects, and Dissertations. 244.