Table of Transforms
| Transform | Symbol | t1 | t2 | u1 | u2 | ||
|---|---|---|---|---|---|---|---|
| Fourier transform | |||||||
| Fourier sine transform | |||||||
| Fourier cosine transform | |||||||
| Hartley transform | |||||||
| Mellin transform | |||||||
| Two-sided Laplace transform |
|||||||
| Laplace transform | |||||||
| Weierstrass transform | |||||||
| Hankel transform | |||||||
| Abel transform | |||||||
| Hilbert transform | |||||||
| Poisson kernel | |||||||
| Identity transform |
In the limits of integration for the inverse transform, c is a constant which depends on the nature of the transform function. For example, for the one and two-sided Laplace transform, c must be greater than the largest real part of the zeroes of the transform function.
Read more about this topic: Integral Transform
Famous quotes containing the words table and/or transforms:
“Will you greet your doom
As final; set him loaves and wine; knowing
The game is finished when he plays his ace,
And overturn the table and go into the next room?”
—Philip Larkin (19221986)
“It is old age, rather than death, that is to be contrasted with life. Old age is lifes parody, whereas death transforms life into a destiny: in a way it preserves it by giving it the absolute dimension. ... Death does away with time.”
—Simone De Beauvoir (19081986)