108 citations · 443 across the 80 of their papers we have counts for
88 papers
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…
Operator model and a trace formula for pairs of unitary operators
Daniel Alpay, Fabrizio Colombo, Izchak Lewkowicz +1
Using the theory of reproducing kernel Hilbert spaces introduced by L. de Branges and J. Rovnyak we prove a trace formula for pairs of operators in Hilbert space in terms of a Cara…
New Taylor and Laurent series of axially harmonic, Fueter regular and polyanalytic functions
Fabrizio Colombo, Antonino De Martino, Irene Sabadini
The Fueter-Sce mapping theorem stands as one of the most profound outcomes in complex and hypercomplex analysis, producing hypercomplex generalizations of holomorphic functions. In…
The -resolvent estimates for the Dirac operator on hyperbolic and spherical spaces
Ivan Beschastnyi, Fabrizio Colombo, Simão Andrade Lucas +1
This seminal paper marks the beginning of our investigation into on the spectral theory based on -spectrum applied to the Dirac operator on manifolds. Specifically, we examine i…
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…
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-…