
The generalized Paley--Wiener space \(PW^{p,k}\) consists of entire functions \(f\) of exponential type \(\pi\) whose \(k\)th derivative belongs to \(L^p({\mathbb R})\). The authors solve the problem of reconstruction of functions in \(PW^{p,k}\) from their values at the points of a completely interpolating sequence.
Mathematics(all), Numerical Analysis, Applied Mathematics, Special classes of entire functions of one complex variable and growth estimates, generalized Paley-Wiener space, interpolation, Paley—Wiener spaces, Banach spaces of continuous, differentiable or analytic functions, Complete interpolating sequences, ∂¯ problem, Divided differences, Analysis
Mathematics(all), Numerical Analysis, Applied Mathematics, Special classes of entire functions of one complex variable and growth estimates, generalized Paley-Wiener space, interpolation, Paley—Wiener spaces, Banach spaces of continuous, differentiable or analytic functions, Complete interpolating sequences, ∂¯ problem, Divided differences, Analysis
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