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  1. Definition of Sinc function - Mathematics Stack Exchange

    I just want to make clear of the definition of sinc(x). I know there is a normalized and unnormalized definition for the sinc function. If we have unnormalized sinc then we have: $$\\sin(x)/x=\\text{...

  2. Fourier transform of sinc function - Mathematics Stack Exchange

    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 …

  3. How does sinc interpolation work? - Mathematics Stack Exchange

    Sinc function = spectrum of a rectangular function Interpolation can be done in many ways. The particularity of the sinc interpolation is it's the only one mathematically perfect. A function can …

  4. Fourier Transform of sinc function (confused about

    As indicated by Sean Lake, the definition of sinc s i n c can depend on the context. Moreover, the definition of the Fourier transform also depends on the context.

  5. $\\sin(x)$ infinite product formula: how did Euler prove it?

    I know that sin(x) sin (x) can be expressed as an infinite product, and I've seen proofs of it (e.g. Infinite product of sine function). I found How was Euler able to create an infinite product for …

  6. real analysis - Numerically stable simplification of sinc function ...

    Apr 26, 2018 · I would like to know if there is an alternate, explicit (non-iterative) form of the sinc function which behaves in a numerically stable way for all real numbers.

  7. $L^2$ and uniform norm of $\\text{sinc}\\, x$ and its derivatives

    The sinc function is the inverse Fourier transform of the characteristic function χ[−1,1] χ [− 1, 1], at least up to a constant:

  8. How does a complex exponential turn into the sinc function?

    How does a complex exponential turn into the sinc function? Ask Question Asked 10 years, 8 months ago Modified 4 years, 6 months ago

  9. Derivative of sinc function - Mathematics Stack Exchange

    Derivative of sinc function Ask Question Asked 13 years, 8 months ago Modified 9 years, 10 months ago

  10. Dirac delta function as a limit of sinc function

    Jan 2, 2015 · The sinc function (with appropriate scaling) is the Fourier transform of the indicator function of an interval centered at 0 0. The delta function is the Fourier transform of the …