TY - JOUR
T1 - On superoscillations and supershifts in several variables
AU - Aharonov, Y.
AU - Colombo, F.
AU - Jordan, A. N.
AU - Sabadini, I.
AU - Shushi, T.
AU - Struppa, D. C.
AU - Tollaksen, J.
N1 - Publisher Copyright:
© 2022, The Author(s).
PY - 2022/11
Y1 - 2022/11
N2 - 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.
AB - 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.
KW - Infinite order differential operators
KW - Superoscillatory functions
KW - Supershifts in several variables
UR - http://www.scopus.com/inward/record.url?scp=85140064928&partnerID=8YFLogxK
U2 - 10.1007/s40509-022-00277-x
DO - 10.1007/s40509-022-00277-x
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AN - SCOPUS:85140064928
SN - 2196-5609
VL - 9
SP - 417
EP - 433
JO - Quantum Studies: Mathematics and Foundations
JF - Quantum Studies: Mathematics and Foundations
IS - 4
ER -