108 citations · 277 across the 39 of their papers we have counts for
41 papers
Approximation of Fractals via Lagrange-type Superoscillations
Francesco Mantovani, Daniele C. Struppa
We study the approximation of the Weierstrass function by means of superoscillating sequences. Superoscillatory functions are band-limited functions whose local oscillation rate ca…
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…
Reconstructing Superoscillations Buried Deeply in Noise
Derek D. White, Shunxing Zhang, Barbara Soda +4
We utilize a method using frequency combs to construct waves that feature superoscillations - local regions of the wave that exhibit a change in phase that the bandlimits of the wa…
Short-time Fourier transform and superoscillations
Daniel Alpay, Antonino De Martino, Kamal Diki +1
In this paper we investigate new results on the theory of superoscillations using time-frequency analysis tools and techniques such as the short-time Fourier transform (STFT) and t…
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…