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Jan 17, 2024 at 3:35 vote accept Mikayla Eckel Cifrese
Jan 14, 2024 at 17:25 comment added TimWescott "the Fourier transform requires that the integral converges absolutely" -- I think that's the case for the Laplace transform, too, it's just that the constraint "the region of convergence (ROC) is the set of $s$ values for which this integral converges" satisfies that condition. I'm assuming that the fact that the integral is one-sided is what preserves necessary information when you do have to exclude values of $s$ to keep the integral finite.
Jan 14, 2024 at 8:41 history answered Ahsan Yousaf CC BY-SA 4.0