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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.


This article was originally published in Journal of Fourier Analysis and Applications, volume 27, in 2021.

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Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.



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