Mellin transform
In
mathematics, the
Mellin transform is a kind of multiplicative analogue of the
Fourier transform. It is closely connected to the theory of
Dirichlet series
The Mellin transform of a function f is
The inverse transform is
The notation implies this is a
contour integral taken over a vertical line in the complex plane.
The transform is named after the Finnish mathematician Robert Hjalmar Mellin (1854 - 1933).