2019年12月29日 · What is the Fourier transform? What does it do? Why is it useful (in math, in engineering, physics, etc)? This question is based on the question of Kevin Lin, which didn't …

0 One could derive the formula via dual numbers and using the time shift and linearity property of the Fourier transform.

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 theory of Fourier transforms has gotten around this in some way that means that integral using normal definitions of integrals must not be the true definition of a Fourier transform.

2012年10月26日 · 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, …

2020年5月12日 · Fourier transform of even/odd function Ask Question Asked 13 years, 1 month ago Modified 2 years, 6 months ago

2017年5月9日 · That's a case when the "sufficient" and "necessary" properties of statements come into play. Although the square wave function really doesn't satisfies the Dirichlet …

2017年4月23日 · Plotting a Fourier series using Matlab Ask Question Asked 8 years, 5 months ago Modified 6 years ago

2017年3月6日 · For sufficiently large $\alpha$, the Fourier transform exists. One well-known example in physics is the case $\alpha = n-2$, which is the Coulomb potential; its Fourier …

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 $...