• Thumbnail for Fourier series
    differentiable. ATS theorem Carleson's theorem Dirichlet kernel Discrete Fourier transform Fast Fourier transform Fejér's theorem Fourier analysis Fourier sine and...
    70 KB (10,863 words) - 12:21, 11 September 2024
  • mathematics, the Fourier inversion theorem says that for many types of functions it is possible to recover a function from its Fourier transform. Intuitively...
    18 KB (3,626 words) - 17:26, 23 July 2024
  • Thumbnail for Fourier transform
    Discrete Fourier transform *DFT matrix Fast Fourier transform Fourier integral operator Fourier inversion theorem Fourier multiplier Fourier series Fourier sine...
    177 KB (21,022 words) - 12:47, 14 September 2024
  • Thumbnail for Joseph Fourier
    much original matter—in particular, Fourier's theorem on polynomial real roots, published in 1820. Fourier's theorem on real roots of polynomials states...
    24 KB (2,296 words) - 08:58, 13 September 2024
  • convolution theorem states that under suitable conditions the Fourier transform of a convolution of two functions (or signals) is the product of their Fourier transforms...
    22 KB (1,984 words) - 12:21, 11 September 2024
  • Thumbnail for Nyquist–Shannon sampling theorem
    finite bandwidth. Strictly speaking, the theorem only applies to a class of mathematical functions having a Fourier transform that is zero outside of a finite...
    51 KB (6,708 words) - 04:33, 31 July 2024
  • In mathematics, Parseval's theorem usually refers to the result that the Fourier transform is unitary; loosely, that the sum (or integral) of the square...
    9 KB (1,799 words) - 18:31, 3 September 2024
  • Thumbnail for Discrete Fourier transform
    In mathematics, the discrete Fourier transform (DFT) converts a finite sequence of equally-spaced samples of a function into a same-length sequence of...
    72 KB (11,265 words) - 14:43, 17 September 2024
  • Thumbnail for Projection-slice theorem
    In mathematics, the projection-slice theorem, central slice theorem or Fourier slice theorem in two dimensions states that the results of the following...
    9 KB (1,224 words) - 03:14, 25 July 2023
  • Boislaurent. A similar theorem was published independently by Joseph Fourier in 1820. Each of these theorems is a corollary of the other. Fourier's statement appears...
    15 KB (2,239 words) - 08:50, 24 July 2024