| 11. | As an example of an application of integral transforms, consider the Laplace transform.
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| 12. | This kernel is the kernel of integral transform.
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| 13. | This allows one to gain more insight into the nature of these integral transforms.
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| 14. | There are numerous useful integral transforms.
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| 15. | The Hankel transform is an integral transform and was first developed by the mathematician Hermann Hankel.
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| 16. | An integral transform " maps " an equation from its original " domain " into another domain.
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| 17. | The solution is then mapped back to the original domain with the inverse of the integral transform.
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| 18. | Alternatively, integral transforms, such as the hyperbolic PDE into a form of the Helmholtz equation.
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| 19. | All of the integral transforms can be expressed as linear transformations; that is, as matrices.
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| 20. | Methods of generating such expansions include the Euler Maclaurin summation formula and integral transforms such as the Mellin transforms.
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