On superoscillations and supershifts in several variables

被引:0
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作者
Y. Aharonov
F. Colombo
A. N. Jordan
I. Sabadini
T. Shushi
D. C. Struppa
J. Tollaksen
机构
[1] Chapman University,Schmid College of Science and Technology and Institute of Quantum Studies
[2] Dipartimento di Matematica,Politecnico di Milano
[3] Ben-Gurion University of the Negev,Department of Business Administration, Guilford Glazer Faculty of Business and Management & Center for Quantum Information Science and Technology
[4] Chapman University,The Donald Bren Presidential Chair in Mathematics
关键词
Superoscillatory functions; Supershifts in several variables; Infinite order differential operators; 26A09; 41A60;
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摘要
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.
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页码:417 / 433
页数:16
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