Definition of "convolution"

convolution

noun
countable and uncountable, plural convolutions
1. A twist or fold.
2. Any of the folds on the surface of the brain.
3. The shape of something rotating; a vortex.
4. The state or condition of being convoluted.
5. (mathematics, functional analysis) A mathematical operation on two functions that produces a third that expresses how the shape of one is modified by the other; the integral of the product of the two functions after one is reflected about the y-axis and shifted along the x-axis.
  Quotations
  Aurel Wintner, 1934
  The proper method in dealing with distribution functions and their convolutions (“Faltungen”) is the method of Fourier transforms, first applied systematically by Levy in his book on the calculus of probability.
  Linear convolution is one of the most frequent computations carried out in digital signal processing (DSP).
  1997, Richard Tolimieri, Myoung An, Chao Lu, Algorithms for Discrete Fourier Transform and Convolution, 2nd edition, Springer, page 101
  In Chapter 11 we considered H {\displaystyle H} -convolutions of generalized H {\displaystyle H} -transforms. These convolutions are bilinear, commutative and associative operations […] .
  1994, Semen B. Yakubovich, Yurii F. Luchko, The Hypergeometric Approach to Integral Transforms and Convolutions, Springer, page 183
6. (computing) A function which maps a tuple of sequences into a sequence of tuples.
7. One 360° turn in a spring or similar helix.