New posts in fourier-analysis

average of maximal function is less than its infimum?

Fourier Transform of complicated product: $(1+x)^2 e^{-x^2/2}$

$\int_{\mathbb{R}}f(x)e^{-ixz}d\mu_x$ analytic for $f\in L_1$

Mistake in proof of Lemma 2.3 in Chapter 3 of Stein and Shakarchi's Fourier Analysis

Recommended books/links for Fourier Transform beginners?

3D Fourier transform

$W^{s,p}(\mathbb{R}^{n})$ Is Not Closed Under Multiplication when $s\leq n/p$

Computing the Fourier transform of $H_k(x)e^{-x^2/2}$, where $H_k$ is the Hermite polynomial.

Limit of maximum of $f_{n}(x)=\frac{1}{n}(\sin{x}+\sin{(2x)}+\cdots+\sin{(nx)})$

Integral of inverse Laplace transform

Fourier Transform of $\frac{1}{\sqrt{|x|}}$

For which $s\in\mathbb R$, is $H^s(\mathbb T)$ a Banach algebra?

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

Sup norm of Fourier transform of $ \frac{\sin |x|}{|x|^\lambda} \mathbb 1_{\{2^k\le |x| <2^{k+1}\}}, \ 0<\lambda<n $

Cesaro summable implies that $c_{n}/n$ goes to $0$

A function is $L^2$-differentiable if and only if $\xi\widehat{f}(\xi) \in L^2$.

What's the Fourier transform of these functions?

Finding the period of a nonlinear ODE

How do I show that the integral of $e^{inx}$ over a set of measure $1$ is nonzero for some nonzero $n$?

When is a Fourier series analytic?