Quantifying the ill-conditioning of analytic continuation

Analytic continuation is ill-posed, but becomes merely ill-conditioned (although with an infinite condition number) if it is known that the function in question is bounded in a given region of the complex plane. In an annulus, the Hadamard three-circles theorem implies that the ill-conditioning is n...

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Bibliographic Details
Main Author: Trefethen, LN
Format: Journal article
Language:English
Published: Springer Nature 2020