The aim of this paper is to study a class of superoscillatory functions in several variables, removing some restrictions on the functions that we introduced in a previous paper. Since the tools that we used with our approach are not common knowledge we will give detailed proof for the case of two variables. The results proved for superoscillatory functions in several variables can be further extended to supershifts in several variables.

On superoscillations and supershifts in several variables

Colombo, F;Sabadini, I;
2022-01-01

Abstract

The aim of this paper is to study a class of superoscillatory functions in several variables, removing some restrictions on the functions that we introduced in a previous paper. Since the tools that we used with our approach are not common knowledge we will give detailed proof for the case of two variables. The results proved for superoscillatory functions in several variables can be further extended to supershifts in several variables.
2022
Superoscillatory functions
Supershifts in several variables
Infinite order differential operators
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1256117
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