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On superoscillations and supershifts in several variables

Yakir Aharonov, Fabrizio Colombo, Andrew N. Jordan, Irene Sabadini, Tomer Shushi, Daniele C. Struppa, Jeff Tollaksen

2022Quantum Studies Mathematics and Foundations17 citationsDOIOpen Access PDF

Abstract

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.

Topics & Concepts

Class (philosophy)VariablesComputer scienceVariable (mathematics)MathematicsArtificial intelligenceMachine learningMathematical analysisQuantum chaos and dynamical systemsQuantum Mechanics and ApplicationsQuantum Computing Algorithms and Architecture
On superoscillations and supershifts in several variables | Litcius