Fourier Series: Dirichlet Theorem and Convergence

This lecture covers the concept of Fourier series, including the Dirichlet theorem and convergence properties. It explains the relationship between Ff(x) and f(x), the heuristic justification of the definition, and the convergence of Fourier series. The instructor discusses the Dirichlet theorem for periodic piecewise-defined functions, providing insights into the existence of limits and continuity conditions. Additionally, the lecture explores the heuristic justification of the Fourier series definition and its convergence in various scenarios.