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 pangs of conscience, where are the pangs of conscience? Orestes and Clytemnestra, Reinhold doesn’t even know the names of those fine folk. He simply hopes, heartily and sincerely, that Franz is dead as a doornail and won’t be found.”
—Alfred Döblin (1878–1957)
“When the Day of Judgement dawns and the great conquerors and lawyers and statesmen come to receive their rewards—their crowns, their laurels, their names carved indelibly upon imperishable marble—the Almighty will turn to Peter and will say, not without a certain envy when he sees us coming with our books under our arms, “Look, these need no reward. We have nothing to give them here. They have loved reading.””
—Virginia Woolf (1882–1941)
“Watt’s need of semantic succour was at times so great that he would set to trying names on things, and on himself, almost as a woman hats.”
—Samuel Beckett (1906–1989)