MA746: Fourier Analysis (Jan- April 2019)
Assignments: Assignment 1, Assignment 2, Assignment 3
Lecture notes: Fourier_Series, Fourier Transform, Distribution Theory 1
Exams: Quiz-I, MidSem, EndSem, Quiz -II
In lieu of Quiz-II, students delivered presentations on a diverse array of advanced topics, including the derivative of monotone functions, the construction of an everywhere continuous but nowhere differentiable function, the Riesz Representation Theorem, Minkowski's Integral Inequality, the Riesz-Thorin Interpolation Theorem, the Hardy-Littlewood Maximal Function, the Lebesgue Differentiation Theorem, the Mean Value Theorem for harmonic functions, non-tangential convergence of harmonic functions, the Phragmen-Lindelof Lemma for harmonic functions, Weyl's Equidistribution Theorem (via Fourier series), and the Prime Number Theorem (via the Wiener Tauberian Theorem).