New posts in Fourier Analysis

Fourier transform of $\frac{1}{\sqrt{1 + x^2}}$

Proof of the unbounded-ness of $\sum_{n\geq 1}\frac{1}{n}\sin\frac{x}{n}$

Littlewood-Paley decomposition

Fourier transform of the distribution PV $\left( \frac{1}{x} \right)$

Calculate the Fourier transform of $\log |x| $

Are the Euler-Maclaurin formula and the Poisson summation formula related?

Fourier transform of a complex exponential

A measure and the Fourier inverse transform of its Fourier transform

What are all the generalizations needed to pass from finite dimensional linear algebra with matrices to fourier series and pdes?

How to establish the identity of the infinite sum