On some operators associated to superoscillations

DOI10.1007/s11785-012-0227-9zbMath1297.47095OpenAlexW1982733990MaRDI QIDQ371867

Mohammad Hasan, H. S. Yoon

Publication date: 10 October 2013

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

Full work available at URL: https://doi.org/10.1007/s11785-012-0227-9

zbMATH Keywords

unbounded operatorsspectral theoremsuperoscillating functions

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Linear symmetric and selfadjoint operators (unbounded) (47B25) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items

Classes of superoscillating functions, Continuity of some operators arising in the theory of superoscillations, Schrödinger evolution of superoscillations under different potentials, Persistence of superoscillations under the Schrödinger equation, Superoscillating sequences in several variables, Quantum harmonic oscillator with superoscillating initial datum, Superoscillating sequences towards approximation in \(\mathscr{S}\) or \(\mathscr{S}^\prime\)-type spaces and extrapolation, Superoscillating sequences as solutions of generalized Schrödinger equations, The Mathematics of Superoscillations, Superoscillating sequences and hyperfunctions, Evolution of superoscillatory initial data in several variables in uniform electric field

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