We give applications of the theory of superoscillations to various questions, namely extension of positive definite functions, interpolation of polynomials and also of Rfunctions; we also discuss possible applications to signal theory and prediction theory of stationary stochastic processes. In all cases, we give a constructive procedure, by way of a limiting process, to get the required results.
Alpay, D., Colombo, F. & Sabadini, I. Superoscillations and Analytic Extension in Schur Analysis. J Fourier Anal Appl 27, 28 (2021). https://doi.org/10.1007/s00041-020-09808-9
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