Analyticity, superoscillations and supershifts in several variables
Analyticity, superoscillations and supershifts in several variables
Superoscillations have roots in various scientific disciplines, including optics, signal processing, radar theory, and quantum mechanics. This intriguing mathematical phenomenon permits specific functions to oscillate at a rate surpassing their highest Fourier component. A more encompassing concept, supershifts, extends the idea of superoscillations to functions that are not sum of …