Superoscillations and Analytic Extension in Schur Analysis

Authors

Daniel Alpay, Chapman UniversityFollow
Fabrizio Colombo, Politecnico di Milano
Irene Sabadini, Politecnico di Milano

Document Type

Article

Publication Date

3-17-2021

Abstract

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.

Comments

This article was originally published in Journal of Fourier Analysis and Applications, volume 27, in 2021. https://doi.org/10.1007/s00041-020-09808-9

Recommended Citation

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

Peer Reviewed

1

Copyright

The authors

Creative Commons License

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