The presentation will provide a self-contained proof of Ingham's theorem, which is a fundamental result on nonharmonic/nonperiodic Fourier series that relates the 2-norm of a nonharmonic Fourier series and its coefficients.
Reference:
P. Jaming, C. Saba. From Ingham to Nazarov’s inequality: a survey on some trigonometric inequalities. Adv. Pure Appl. Math. 15, No. 3, 12-76 (2024).