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...

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 …

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 …

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

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

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 …

Apr 11, 2024 · Fourier Transform (train of impulses) Ask Question Asked 1 year, 9 months ago Modified 1 year, 9 months ago

Jan 8, 2026 · Inverse Fourier transform for the square root of the Ohmic bath spectral function fourier-transform Nov 26, 2025 at 13:59

Apr 7, 2016 · Fourier transform of sampling function Ask Question Asked 9 years, 9 months ago Modified 9 years, 9 months ago