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:
“A knowledge that people live close by is,
I think, enough. And even if only first names are ever exchanged
The people who own them seem rock-true and marvelously self-sufficient.”
—John Ashbery (b. 1927)
“It is a sad truth, but we have lost the faculty of giving lovely names to things. Names are everything. I never quarrel with actions. My one quarrel is with words.... The man who could call a spade a spade should be compelled to use one. It is the only thing he is fit for.”
—Oscar Wilde (1854–1900)
“We rarely quote nowadays to appeal to authority ... though we quote sometimes to display our sapience and erudition. Some authors we quote against. Some we quote not at all, offering them our scrupulous avoidance, and so make them part of our “white mythology.” Other authors we constantly invoke, chanting their names in cerebral rituals of propitiation or ancestor worship.”
—Ihab Hassan (b. 1925)