4 citations · 18 across the 35 of their papers we have counts for
5 papers · 2 filters
The -functional calculi for the quaternionic fine structures of Dirac type
Fabrizio Colombo, Stefano Pinton, Peter Schlosser
In this paper, we utilize various integral representations derived from the Fueter-Sce extension theorem, to introduce novel functional calculi tailored for quaternionic operators…
Characterization of continuous homomorphisms on entire slice monogenic functions
Stefano Pinton, Peter Schlosser
This paper is inspired by a class of infinite order differential operators arising in the time evolution of superoscillations. Recently, infinite order differential operators have…
Entire monogenic functions of given proximate order and continuous homomorphisms
F. Colombo, R. S. Krausshar, S. Pinton +1
Infinite order differential operators appear in different fields of mathematics and physics. In the past decade they turned out to play a crucial role in the theory of superoscilla…
The harmonic -functional calculus based on the S-spectrum
Antonino de Martino, Stefano Pinton, Peter Schlosser
The aim of this paper is to introduce the -functional calculus for harmonic functions over the quaternions. More precisely, we give meaning to Df(T) for unbounded sectori…
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…