In mathematics, an integral transform is any transform T of the following form:
The input of this transform is a function f, and the output is another function Tf. An integral transform is a particular kind of mathematical operator.
There are numerous useful integral transforms. Each is specified by a choice of the function K of two variables, the kernel function or nucleus of the transform.
Some kernels have an associated inverse kernel K−1(u, t) which (roughly speaking) yields an inverse transform:
A symmetric kernel is one that is unchanged when the two variables are permuted.
Read more about Integral Transform: Motivation, History, Importance of Orthogonality, Usage Example, Table of Transforms, Different Domains, General Theory
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