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:
“Oh yes, children often commit murders. And quite clever ones, too. Some murderers, particularly the distinguished ones who are going to make great names for themselves, start amazingly early.... Like mathematicians and musicians. Poets develop later.”
—John Lee Mahin (1902–1984)
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—Alexander Herzen (1812–1870)
“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)