New posts in fourier-analysis

proof that translation of a function converges to function in $L^1$ [duplicate]

Strengthened results for smoothness and decay of Fourier transform

Intuitively, why is the Gaussian the Fourier transform of itself?

Fourier transform in $L^p$

Recursive Integration over Piecewise Polynomials: Closed form?

What is the Fourier transform of $f(x)=e^{-x^2}$?

Relation between function discontinuities and Fourier transform at infinity

Double integral separating real and imaginary parts of $\zeta (\sigma+i t)$

show that $\int_{0}^{\infty} \frac {\sin^3(x)}{x^3}dx=\frac{3\pi}{8}$

What is the difference between the Discrete Fourier Transform and the Fast Fourier Transform?

Explicitly reconstructing a function from its moments

What is the Fourier transform of the product of two functions?

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

Fourier transform of 1/cosh

Fourier - Are sinusoidals strictly required?

Heisenberg uncertainty principle in $d$ dimensions

Instructive proofs in functional analysis

Fourier transform of the indicator of the unit ball

Tensor products of functions generate dense subspace?

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