On superoscillations and supershifts in several variables

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 va...

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Bibliographic Details
Published in:Quantum Studies : Mathematics and Foundations 2022-11, Vol.9 (4), p.417-433
Main Authors: Aharonov, Y., Colombo, F., Jordan, A. N., Sabadini, I., Shushi, T., Struppa, D. C., Tollaksen, J.
Format: Article
Language:English
Subjects:
History and Philosophical Foundations of Physics
Mathematical analysis
Mathematical and Computational Physics
Mathematical Physics
Mathematics
Mathematics and Statistics
Quantum Physics
Regular Paper
Theoretical
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Summary: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.
ISSN:2196-5609
2196-5617
DOI:10.1007/s40509-022-00277-x