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- W2093762947 abstract "This paper is a continuation of our project on “inverse interpolation”, begun in [6]. In brief, the task of inverse interpolation is to deduce some property of a function f from some given property of the set L of its Lagrange interpolants. In the present work, the property of L is that it be a uniformly bounded set of functions when restricted to the domain of f . In particular (see Section 3), when the domain is a disc, we deduce sharp bounds on the successive derivatives of f . As a result, f must extend to be an analytic function (of restricted growth) in the concentric disc of thrice the original radius." @default.
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- W2093762947 date "1987-06-01" @default.
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- W2093762947 title "The space of totally bounded analytic functions" @default.
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- W2093762947 doi "https://doi.org/10.1017/s0013091500028303" @default.
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