1 citations · 1 across the 9 of their papers we have counts for
14 papers
Properties of a polyanalytic functional calculus on the -spectrum
Antonino De Martino, Stefano Pinton
The Fueter mapping theorem gives a constructive way to extend holomorphic functions of one complex variable to monogenic functions, i.e., null solutions of the generalized Cauchy-R…
Axially harmonic functions and the harmonic functional calculus on the S-spectrum
Fabrizio Colombo, Antonino De Martino, Stefano Pinton +1
The spectral theory on the S-spectrum was introduced to give an appropriate mathematical setting to quaternionic quantum mechanics, but it was soon realized that there were differe…
Testing families of analytic discs in the unit ball
Luca Baracco, Stefano Pinton
Let be three non collinear points such that their mutual joining complex lines do not intersect the unit ball and such that the line through…
Higher order gradients of monogenic functions
Luca Baracco, Stefano Pinton
Given a monogenic function on the quaternionic algebra , the Clifford algebra or the octonionic algebra we prove that is su…
An introduction to hyperholomorphic spectral theories and fractional powers of vector operators
Fabrizio Colombo, Jonathan Gantner, Stefano Pinton
The aim of this paper is to give an overview of the spectral theories associated with the notions of holomorphicity in dimension greater than one. A first natural extension is the…
Infinite order differential operators acting on entire hyperholomorphic functions
Daniel Alpay, Fabrizio Colombo, Stefano Pinton +2
Infinite order differential operators appear in different fields of Mathematics and Physics and in the last decades they turned out to be of fundamental importance in the study of…