Continuity Theorems for a Class of Convolution Operators and Applications to Superoscillations

Authors

T. Aoki, Kindai University
F. Colombo, Politecnico di Milano
I. Sabadini, Politecnico di Milano
Daniele Struppa, Chapman UniversityFollow

Document Type

Article

Publication Date

3-12-2018

Abstract

We prove a new theorem on the continuity of convolution operators with variable coefficients, and we use it to deduce that the limit of a superoscillating sequence maintains the superoscillatory behaviour for all values of time, when evolved according to Schrödinger equations with time-dependent potentials.

Comments

This article was originally published in Annali di Matematica, volume 197, in 2018. https://doi.org/10.1007/s10231-018-0736-x

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Recommended Citation

Aoki, T., Colombo, F., Sabadini, I. et al. Continuity theorems for a class of convolution operators and applications to superoscillations. Annali di Matematica 197, 1533–1545 (2018). https://doi.org/10.1007/s10231-018-0736-x

Peer Reviewed

1

Copyright

Springer