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:
“Our foreparents were mostly brought from West Africa.... We were brought to America and our foreparents were sold; white people bought them; white people changed their names ... my maiden name is supposed to be Townsend, but really, what is my maiden name? What is my name?”
—Fannie Lou Hamer (1917–1977)
“Shut out that stealing moon,
She wears too much the guise she wore
Before our lutes were strewn
With years-deep dust, and names we read
On a white stone were hewn.”
—Thomas Hardy (1840–1928)
“Ideas about life organize perception; names of emotions organize sensations; rules of syntax organize thought. But pain comes on its own.”
—Mason Cooley (b. 1927)