49 citations · 125 across the 31 of their papers we have counts for
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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…
The spectral theorem for normal operators on a Clifford module
Fabrizio Colombo, David P. Kimsey
In this paper, using the recently discovered notion of the -spectrum, we prove the spectral theorem for a bounded or unbounded normal operator on a Clifford module (i.e., a two-…
Formulations of the F-functional calculus and some consequences
Fabrizio Colombo, Jonathan Gantner
In this paper we introduce the two possible formulations of the F-functional calculus which are based on the Fueter-Sce mapping theorem in integral form and we introduce the pseudo…
Krein-Langer factorization and related topics in the slice hyperholomorphic setting
Daniel Alpay, Fabrizio Colombo, Irene Sabadini
We study various aspects of Schur analysis in the slice hyperholomorphic setting. We present two sets of results: first, we give new results on the functional calculus for slice hy…
Pontryagin de Branges Rovnyak spaces of slice hyperholomorphic functions
Daniel Alpay, Fabrizio Colombo, Irene Sabadini
We study reproducing kernel Hilbert and Pontryagin spaces of slice hyperholomorphic functions which are analogs of the Hilbert spaces of analytic functions introduced by de Branges…