Topics in Fourier Analysis
RES.18-015 · Mathematics · Non-Credit · Spring 2024
Prof. Daniel Stroock
The goal of these lectures is to provide an introduction to Fourier analysis. The first topic is Fourier series, in particular, the Gibbs phenomenon and the dependence of their convergence properties on the suitability method used. The second topic is the Fourier transform, first the <em>L</em>¹ theory and then, using Hermite functions, the <em>L</em>² theory. The third topic is L. Schwartz’s theory of tempered distributions. The fourth topic is the theory of weak convergence of probability mea…
The syllabus, on MIT OpenCourseWare
The full course — syllabus, assigned readings, problem sets, exams, and lecture notes — lives on OCW. These open the real thing:
Syllabus ↗
Course overview, grading, schedule
Readings ↗
The assigned reading list, session by session
Assignments ↗
Problem sets and projects
Full course on OCW ↗
Everything, including lecture materials
Attribution
Prof. Daniel Stroock. RES.18-015 Topics in Fourier Analysis . Spring 2024. Massachusetts Institute of Technology: MIT OpenCourseWare, https://ocw.mit.edu. License: CC BY-NC-SA 4.0.
Course materials are © their authors and licensed CC BY-NC-SA 4.0. CurrMana links to the source and does not re-host them.