Names
Weierstrass used this transform in his original proof of the Weierstrass approximation theorem. It is also known as the Gauss transform or Gauss–Weierstrass transform after Carl Friedrich Gauss and as the Hille transform after Einar Carl Hille who studied it extensively. The generalization Wt mentioned below is known in signal analysis as a Gaussian filter and in image processing (when implemented on R2) as a Gaussian blur.
Read more about this topic: Weierstrass Transform
Famous quotes containing the word names:
“And even my sense of identity was wrapped in a namelessness often hard to penetrate, as we have just seen I think. And so on for all the other things which made merry with my senses. Yes, even then, when already all was fading, waves and particles, there could be no things but nameless things, no names but thingless names. I say that now, but after all what do I know now about then, now when the icy words hail down upon me, the icy meanings, and the world dies too, foully named.”
—Samuel Beckett (1906–1989)
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—John Dos Passos (1896–1970)
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—Oliver Goldsmith (1728–1774)