On superoscillations and supershifts in several variables

Y. Aharonov; F. Colombo; A. N. Jordan; I. Sabadini; T. Shushi; D. C. Struppa; J. Tollaksen

doi:10.1007/s40509-022-00277-x

On superoscillations and supershifts in several variables

Y. Aharonov, F. Colombo, A. N. Jordan, I. Sabadini^*, T. Shushi, D. C. Struppa, J. Tollaksen

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	417-433
Number of pages	17
Journal	Quantum Studies: Mathematics and Foundations
Volume	9
Issue number	4
DOIs	https://doi.org/10.1007/s40509-022-00277-x
State	Published - Nov 2022
Externally published	Yes

Keywords

Infinite order differential operators
Superoscillatory functions
Supershifts in several variables

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10.1007/s40509-022-00277-x

Cite this

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author = "Y. Aharonov and F. Colombo and Jordan, {A. N.} and I. Sabadini and T. Shushi and Struppa, {D. C.} and J. Tollaksen",

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AU - Colombo, F.

AU - Jordan, A. N.

AU - Sabadini, I.

AU - Shushi, T.

AU - Struppa, D. C.

AU - Tollaksen, J.

PY - 2022/11

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KW - Infinite order differential operators

KW - Superoscillatory functions

KW - Supershifts in several variables

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On superoscillations and supershifts in several variables

Abstract

Keywords

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