A new class of superoscillatory functions based on a generalized polar coordinate system

DOI10.1007/S40509-020-00236-4MaRDI QIDQ6590067

Tomer Shushi, Y. Aharonov

Publication date: 21 August 2024

Published in: Quantum Studies: Mathematics and Foundations (Search for Journal in Brave)

zbMATH Keywords

Fourier analysismultivariate analysisband-limited functionssuperoscillatory functionsdirectional polar coordinates

Mathematics Subject Classification ID

Quantum theory (81-XX)

Cites Work

• Superoscillating sequences in several variables
• Superoscillating sequences as solutions of generalized Schrödinger equations
• New methods for creating superoscillations
• Some mathematical properties of superoscillations
• A simple model of Aharonov - Berry's superoscillations
• Direct Construction of Superoscillations
• Exact nonparaxial transmission of subwavelength detail using superoscillations
• An approach to constructing super oscillatory functions
• Representing fractals by superoscillations
• Construction of Aharonov–Berry's superoscillations
• The Mathematics of Superoscillations

Related Items (2)

The super Dirac \(\delta\) function and its applications ⋮ On superoscillations and supershifts in several variables

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