Superoscillating sequences and supershifts for families of generalized functions

DOI10.1007/s11785-022-01211-0zbMath1485.42004arXiv1912.01057OpenAlexW2992875728MaRDI QIDQ2119575

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

Publication date: 29 March 2022

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.01057

zbMATH Keywords

Schrödinger equationgeneralized functionsinfinite order differential operatorssuperoscillations

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Hyperfunctions, analytic functionals (46F15) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (7)

Evolution of superoscillations for spinning particles ⋮ On the generating functions and special functions associated with superoscillations ⋮ The general theory of superoscillations and supershifts in several variables ⋮ Entire monogenic functions of given proximate order and continuous homomorphisms ⋮ Integral representation of superoscillations via complex Borel measures and their convergence ⋮ Infinite order differential operators with a glimpse to applications to superoscillations ⋮ Evolution of Aharonov-Berry superoscillations in Dirac \(\delta\)-potential

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