43 citations · 57 across the 3 of their papers we have counts for
7 papers
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…
Superoscillations and Fock spaces
Daniel Alpay, Fabrizio Colombo, Kamal Diki +2
In this paper we use techniques in Fock spaces theory and compute how the Segal-Bargmann transform acts on special wave functions obtained by multiplying superoscillating sequences…
The general theory of superoscillations and supershifts in several variables
Fabrizio Colombo, Stefano Pinton, Irene Sabadini +1
In this paper we describe a general method to generate superoscillatory functions of several variables starting from a superoscillating sequence of one variable. Our results are ba…
Integral representation of superoscillations via complex Borel measures and their convergence
Jussi Behrndt, Fabrizio Colombo, Peter Schlosser +1
In the last decade there has been a growing interest in superoscillations in various fields of mathematics, physics and engineering. However, while in applications as optics the lo…
Ideals of regular functions of a quaternionic variable
Graziano Gentili, Giulia Sarfatti, Daniele C. Struppa
In this paper we prove that, for any , the ideal generated by slice regular functions having no common zeros concides with the entire ring of s…
Quantum harmonic oscillator with superoscillating initial datum
R. V. Buniy, F. Colombo, I. Sabadini +1
In this paper we study the evolution of superoscillating initial data for the quantum driven harmonic oscillator. Our main result shows that superoscillations are amplified by the…