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
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