New posts in Fourier Transform

On the proof of Heisenberg's uncertainty principle

Can I create my own transform?

For $\alpha>0$, evaluate $\int^{+\infty}_0xe^{-x}\cos x\cos(x^2/\alpha)\,dx$

Why are variance and expected value all we care about?

Existence of a certain Schwartz function with compact Fourier support

Applying the Fourier transform to Maxwell's equations

Show that $\int_{-\infty}^{\infty}f(x)\overline {g(x)}dx = \frac{1}{2\pi}\int_{-\infty}^{\infty} \hat{f}(\mu)\overline{\hat{g}(\mu)}d\mu.$

Does Fourier imply Laplace?

Inverse Fourier transform of $\text{sinc}(t)^{1/k}$

Can someone clearly explain the discrete Fourier transform (DFT)?