This thing's   fast type is an algorithm for computing its discrete type.
This thing is a special case of a similar thing named for Gelfand, and can be generalized to a discrete-time version over the integers. Plancherel's formula, which allows this thing to be extended to a unitary operator, relates the integral of the square of a function to the integral of the square of this thing of that function. This thing has the properties of translation, modulation, and time scaling. This thing's   fast type is an algorithm for computing its discrete type. For ten points, identify this means of expressing a function as a sum of trigonometric functions.
This thing is a special case of a similar thing named for Gelfand, and can be generalized to a discrete-time version over the integers.
Fourier transform [prompt on anything with Fourier in it like  Fourier series  ]