43 citations · 56 across the 4 of their papers we have counts for
4 papers
A Zeta Function for Multicomplex Algebra
A. Sebbar, D. C. Struppa, A. Vajiac +1
In this paper we define and study a Dedekind-like zeta function for the algebra of multicomplex numbers. By using the idempotent representations for such numbers, we are able to id…
The mathematics of superoscillations
Y. Aharonov, F. Colombo, I. Sabadini +2
In the past 50 years, quantum physicists have discovered, and experimentally demonstrated, a phenomenon which they termed superoscillations. Aharonov and his collaborators showed t…
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…
A Phragmén - Lindelöf principle for slice regular functions
G. Gentili, C. Stoppato, D. C. Struppa
The celebrated 100-year old Phragmen-Lindelof principle is a far reaching extension of the maximum modulus theorem for holomorphic functions of one complex variable. In some recent…