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An extremal problem in Fourier analysis with applications to operator theory. (English) Zbl 0674.42002

Summary: A certain minimal extrapolation problem for Fourier transforms is known to have consequences for the determination of best possible bounds in some problems in linear operator equations and in perturbation of operators. In this paper we estimate the value of the constant in the Fourier-transform problem, by an analytic reformulation.

MSC:

42A38 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
47A55 Perturbation theory of linear operators
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