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math.FA2023
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…
math.FA2023★ 3 cited
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…
math.FA2023
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…