4 papers
On the approximation of Weierstrass function via superoscillations
Fabrizio Colombo, Irene Sabadini, Daniele C. Struppa
The Weierstrass function is a classic example of a continuous nowhere differentiable function, defined as a sum of high-frequency complex exponentials. In this paper, we follow a s…
Analyticity, superoscillations and supershifts in several variables
F. Colombo, I. Sabadini, D. C. Struppa +1
Superoscillations have roots in various scientific disciplines, including optics, signal processing, radar theory, and quantum mechanics. This intriguing mathematical phenomenon pe…
Analyticity and supershift with irregular sampling
F. Colombo, I. Sabadini, D. C. Struppa +1
The notion of supershift generalizes that one of superoscillation and expresses the fact that the sampling of a function in an interval allows to compute the values of the function…
Analyticity and supershift with regular sampling
F. Colombo, I. Sabadini, D. C. Struppa +1
The notion of supershift (in itself a generalization of the notion of superoscillation arising in quantum mechanics) expresses the fact that the sampling of a function in an interv…