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...

While saz has already answered the question, I just wanted to add that this can be seen as one of the simplest examples of the Uncertainty Principle found in quantum mechanics, and …

Jun 27, 2013 · 0 One could derive the formula via dual numbers and using the time shift and linearity property of the Fourier transform.

I've been practicing some Fourier transform questions and stumbled on the following one. To start off, I defined the Fourier transform for this function by taking integral from $-\\tau$ to $0$ and $...

Nov 24, 2013 · What are some real world applications of Fourier series? Particularly the complex Fourier integrals?

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, …

Apr 29, 2024 · Fourier Transform of a Triangular function (using the formula and the convolution theorem) Ask Question Asked 1 year, 7 months ago Modified 1 year, 7 months ago

Fourier Series of The Sine Function Ask Question Asked 13 years, 1 month ago Modified 3 years, 8 months ago

Jun 19, 2020 · So, to evaluate its fourier transform, one can use limiting argument, say a sequence of functions that converges to signum function, because fourier transform is a …

Aug 15, 2016 · What is meant with 'Fourier mode'? Ask Question Asked 9 years, 4 months ago Modified 8 years, 4 months ago