I want to know whether $G_t=\prod_{i=1}^\infty G(s)^i$ is defined and analytic on the right half plane for an analytic $G(s)$ on the right half plane.
If so, is $L^{-1}\left(G_t\frac{1}{s}\right)$ bounded?
2026-03-28 03:34:51.1774668891
Infinite product of an analytic function on the right half plane
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