On superoscillations and supershifts in several variables

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

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

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 languageEnglish
Pages (from-to)417-433
Number of pages17
JournalQuantum Studies: Mathematics and Foundations
Volume9
Issue number4
DOIs
StatePublished - 1 Nov 2022

Keywords

  • Infinite order differential operators
  • Superoscillatory functions
  • Supershifts in several variables

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Mathematical Physics

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