MA746: Fourier Analysis (Jan- April 2019)

Syllabus

Assignments: Assignment 1, Assignment 2, Assignment 3

Lecture notes: Fourier_Series, Fourier Transform, Distribution Theory 1

Exams: Quiz-I, MidSem, EndSem

 In addition, the derivative of the monotone functions, everywhere continuous but nowhere differentiable function, Riesz representation theorem,  Minkowski   integral inequality, Riesz Thorin interpolation theorem, Hardy Littlewood maximal function, Lebesgue differentiation theorem, mean value theorem for harmonic function, non-tangential convergence of harmonic function, Phragmen-Lindelof lemma for harmonic function, Weyl's equidistribution theorem (via Fourier series), and prime number theorem (via Wiener Tauberian theorem) were covered through the presentation by students in lieu of Quiz-II.