Mellin transform
The Mellin transform is an integral transform
defined as follows:
Intuitively, it may be viewed as a continuous analogue of a power series
— instead of synthetizing a function
by summing multiples of integer
powers, we integrate over all real powers. This transform is closely
related to the Laplace transform
— if we make a change of variables
and define by , then the above integral
becomes
which is a bilateral Laplace transform.
(more to come)
Title | Mellin transform |
---|---|
Canonical name | MellinTransform |
Date of creation | 2015-02-17 15:10:57 |
Last modified on | 2015-02-17 15:10:57 |
Owner | rspuzio (6075) |
Last modified by | pahio (2872) |
Numerical id | 7 |
Author | rspuzio (2872) |
Entry type | Definition |
Classification | msc 44A15 |