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math.SP2023
Harmonic and polyanalytic functional calculi on the -spectrum for unbounded operators
Fabrizio Colombo, Antonino De Martino, Stefano Pinton
Harmonic and polyanalytic functional calculi have been recently defined for bounded commuting operators. Their definitions are based on the Cauchy formula of slice hyperholomorphic…
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The fine structure of the spectral theory on the -spectrum in dimension five
Fabrizio Colombo, Antonino De Martino, Stefano Pinton +1
Holomorphic functions play a crucial role in operator theory and the Cauchy formula is a very important tool to define functions of operators. The Fueter-Sce-Qian extension theorem…