3 papers
math.CV2026
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…
math.CA2026
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…
physics.optics2024
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…