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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…
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…