Integral Transform - Table of Transforms

Table of Transforms

Table of integral 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:

    “The newspaper is a Bible which we read every morning and every afternoon, standing and sitting, riding and walking. It is a Bible which every man carries in his pocket, which lies on every table and counter, and which the mail, and thousands of missionaries, are continually dispersing. It is, in short, the only book which America has printed, and which America reads. So wide is its influence.”
    —Henry David Thoreau (1817–1862)

    “Now, since our condition accommodates things to itself, and transforms them according to itself, we no longer know things in their reality; for nothing comes to us that is not altered and falsified by our Senses. When the compass, the square, and the rule are untrue, all the calculations drawn from them, all the buildings erected by their measure, are of necessity also defective and out of plumb. The uncertainty of our senses renders uncertain everything that they produce.”
    —Michel de Montaigne (1533–1592)