If say, $\mathcal{M}f(s) = \mathcal{M}g(s)$ in a strip say $0 < a < \Re(s) < b$, then can we say that $f$ and $g$ are identical? Does the Mellin inversion theorem imply this?
2026-04-12 01:18:36.1775956716
Mellin transform and equality of two functions
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