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...

May 12, 2020 · Explore related questions functional-analysis analysis fourier-analysis fourier-transform See similar questions with these tags.

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...

Apr 9, 2020 · 7 Discrete Fourier Transform (DFT) is the discrete version of the Fourier Transform (FT) that transforms a signal (or discrete sequence) from the time domain representation to its …

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

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 …

Jun 1, 2018 · Can someone refer me on the Fourier transform of the fourier transform or clarify it for me? It is known that the F.T. of the F.T. is some small modification of the original function itself, but ...

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

Transforms such as Fourier transform or Laplace transform, takes a product of two functions to the convolution of the integral transforms, and vice versa. This is called the Convolution Theorem, and is …

18 The Fourier Transform is a very useful and ingenious thing. But how was it initiated? How did Joseph Fourier composed the Fourier Transform formula and the idea of a transformation between periodic …