Gauss sums, superoscillations and the Talbot carpet

DOI10.1016/j.matpur.2020.07.011zbMath1460.35092arXiv2008.12929OpenAlexW3044441072WikidataQ114148631 ScholiaQ114148631MaRDI QIDQ2656181

Irene Sabadini, Alain Yger, Fabrizio Colombo, Daniele C. Struppa

Publication date: 10 March 2021

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.12929

zbMATH Keywords

Gauss sumsSchrödinger equationsuperoscillating functionsentire functions with growth conditionsTalbot carpet

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Linear operators on function spaces (general) (47B38) Entire functions of several complex variables (32A15)

Related Items (7)

Evolution of superoscillations for spinning particles ⋮ A unified approach to Schrödinger evolution of superoscillations and supershifts ⋮ Persistence of superoscillations under the Schrödinger equation ⋮ The general theory of superoscillations and supershifts in several variables ⋮ Integral representation of superoscillations via complex Borel measures and their convergence ⋮ Holomorphic functions, relativistic sum, Blaschke products and superoscillations ⋮ Partially coherent superoscillations in the Talbot effect

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