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math.SP2022
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…
math.FA2022★ 3 cited
A polyanalytic functional calculus of order 2 on the S-spectrum
Antonino De Martino, Stefano Pinton
The Fueter theorem provides a two step procedure to build an axially monogenic function, i.e. a null-solutions of the Cauchy-Riemann operator in , denoted by $ \math…
math.SP2022
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…