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math.CV2021
On the optimal analytic continuation from discrete data
Narek Hovsepyan
We consider analytic functions from a reproducing kernel Hilbert space. Given that such a function is of order on a set of discrete data points, relative to its global size, we…
math.CV2019
Explicit power laws in analytic continuation problems via reproducing kernel Hilbert spaces
Yury Grabovsky, Narek Hovsepyan
The need for analytic continuation arises frequently in the context of inverse problems. Notwithstanding the uniqueness theorems, such problems are notoriously ill-posed without ad…