3 papers
math.CV2026
The Corona Problem for Slice Holomorphic Functions via the Matrix Corona Problem
Fabrizio Colombo, Elodie Pozzi, Irene Sabadini +1
In this paper we prove the Corona theorem for slice hyperholomorphic functions in a general way that applies to functions with values in a Clifford algebra for any $n…
math.CV2025
The Corona Problem for Slice Hyperholomorphic Functions
Fabrizio Colombo, Elodie Pozzi, Irene Sabadini +1
This paper addresses the Corona problem for slice hyperholomorphic functions for a single quaternionic variable. While the Corona problem is well-understood in the context of one c…
math-ph2024
Aharonov-Bohm effect and superoscillations
Fabrizio Colombo, Elodie Pozzi, Irene Sabadini +1
The path-integral technique in quantum mechanics provides an intuitive framework for comprehending particle propagation and scattering. Calculating the propagator for the Aharonov-…