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:
“The names of those who in their lives fought for life,
Who wore at their hearts the fire’s centre.
Born of the sun they traveled a short while towards the sun,
And left the vivid air signed with their honour.”
—Stephen Spender (1909–1995)
“All nationalisms are at heart deeply concerned with names: with the most immaterial and original human invention. Those who dismiss names as a detail have never been displaced; but the peoples on the peripheries are always being displaced. That is why they insist upon their continuity—their links with their dead and the unborn.”
—John Berger (b. 1926)
“If marriages were made by putting all the men’s names into one sack and the women’s names into another, and having them taken out by a blindfolded child like lottery numbers, there would be just as high a percentage of happy marriages as we have here in England.... If you can tell me of any trustworthy method of selecting a wife, I shall be happy to make use of it.”
—George Bernard Shaw (1856–1950)