New posts in fourier-analysis

On the Fourier transform of $f(x)=\ln(x^2+a^2)$

What does the Fourier Transform mean in the context of images?

Is $\sum_{n=1}^{\infty}{\frac{\sin(nx)}n}$ continuous?

Dirichlet problem in the disk: behavior of conjugate function, and the effect of discontinuities

Known proofs of Wirtinger's Inequality?

Asymptotic error of Fourier series partial sum of sawtooth function

Bounds on $f(k ;a,b) =\frac{ \int_0^\infty \cos(a x) e^{-x^k} \, dx}{ \int_0^\infty \cos(b x) e^{-x^k}\, dx}$

Is Fourier transform characterized by its diagonalization properties?

Fourier Series for $|\cos(x)|$

Fourier transform of fourier transform?

Compute integral $\int_{-\infty}^{\infty}\frac{e^{-ixt}}{\sqrt{1+x^2}} dx$

Convolution of an $L_{p}(\mathbb{T})$ function $f$ with a term of a summability kernel $\{\phi_n\}$

Fourier transform of $\frac{\sin{x}}{x}$

Fourier Series of $f(x) = x$

A Fourier transform of a continuous $L^1$ function

Intuition behind Fourier coefficients

A function and its Fourier transform cannot both be compactly supported

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

Fourier transform is uniformly continuous

Analyticity of the convolution of two functions