Abstract
AbstractThe 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.
Publisher
Springer Science and Business Media LLC
Subject
Mathematical Physics,Atomic and Molecular Physics, and Optics
Reference44 articles.
1. Aharonov, Y., Albert, D., Vaidman, L.: How the result of a measurement of a component of the spin of a spin-1/2 particle can turn out to be 100. Phys. Rev. Lett. 60, 1351–1354 (1988)
2. Aharonov, Y., Behrndt, J., Colombo, F., Schlosser, P.: Schrödinger evolution of superoscillations with $$\delta $$- and $$\delta ^{\prime }$$-potentials. Quantum Stud. Math. Found. 7(3), 293–305 (2020)
3. Aharonov, Y., Behrndt, J., Colombo, F., Schlosser, P.: Green’s function for the Schrödinger equation with a generalized point interaction and stability of superoscillations. J. Differ. Equ. 277, 153–190 (2021)
4. Aharonov, Y., Behrndt, J., Colombo, F., Schlosser, P.: A unified approach to Schrödinger evolution of superoscillations and supershifts. Preprint arXiv:2102.11795, accepted in J. Evol. Equ
5. Aharonov, Y., Colombo, F., Sabadini, I., Struppa, D.C., Tollaksen, J.: Evolution of superoscillations in the Klein-Gordon field. Milan J. Math. 88(1), 171–189 (2020)
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