What is the Fourier transform? What does it do? Why is it useful (in math, in engineering, physics, etc)? This question is based on Kevin Lin's question, which didn't quite fit in MathOverflow. An...

In the QM context, momentum and position are each other's Fourier duals, and as you just discovered, a Gaussian function that's well-localized in one space cannot be well-localized in the other.

Fourier transform commutes with linear operators. Derivation is a linear operator. Game over.

Let us consider the Fourier transform of $\\mathrm{sinc}$ function. As I know it is equal to a rectangular function in frequency domain and I want to get it myself, I know there is a lot of material...

Aug 19, 2012 · Fourier transform of even/odd function Ask Question Asked 13 years, 4 months ago Modified 2 years, 10 months ago

Oct 26, 2012 · The Fourier series is used to represent a periodic function by a discrete sum of complex exponentials, while the Fourier transform is then used to represent a general, nonperiodic function by …

Oct 27, 2019 · What are some real world applications of Fourier series? Particularly the complex Fourier integrals?

Apr 29, 2024 · I tried using the standard Fourier transform formula and then tried using the convolution theorem. I reached the correct answer by using the formula, but I seem to have the scaling factor …

Computing the Fourier coefficients and series for $\log (\sin (x))$ Ask Question Asked 11 years ago Modified 2 months ago

Aug 15, 2016 · What is meant with 'Fourier mode'? Ask Question Asked 9 years, 5 months ago Modified 8 years, 5 months ago