Is it possible to define the Mellin transform for sequences of real numbers or even for tuples? Is there any book treating this argument?
Any idea or suggestion will be greatly appreciated
Since the suggestions are very promising I edited the question to add some details:
Is there a natural way to define a discrete Mellin transform in the same way discrete Fourier transform is defined (look for example to https://en.wikipedia.org/wiki/Discrete_Fourier_transform) . How is defined and what are its properties? I'm not able to see this kind of construction (if possible) in the suggested texts.
The question arose me looking at Variations on the Mellin and Dirichlet transforms but the proposed paper is in russian and I'm looking for a more "user friendly" introductory text beside the fact I'm not able to understand Russian.