Math 2.0

Integral transforms, operational calculus General theory of integral transforms Concept

Kernel of an integral transform

Summary

The kernel of an integral transform is the function K(t,u)K(t, u) of two variables that is integrated against the input function. It determines the transform completely: different transforms differ only in their kernels and in their domains of integration. Properties of the kernel, such as symmetry or decay, decide which functions can be transformed and whether the transform can be inverted.

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Further reading

  1. Web https://en.wikipedia.org/wiki/Integral_transform
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