49 citations · 122 across the 25 of their papers we have counts for
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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…
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…
Fractional powers of higher order vector operators on bounded and unbounded domains
Luca Baracco, Fabrizio Colombo, Marco M. Peloso +1
Using the -functional calculus for quaternionic operators, we show how to generate the fractional powers of some densely defined differential quaternionic operators of or…
The spectral theorem for quaternionic unbounded normal operators based on the S-spectrum
Daniel Alpay, Fabrizio Colombo, David P. Kimsey
In this paper we prove the spectral theorem for quaternionic unbounded normal operators using the notion of -spectrum. The proof technique consists of first establishing a spect…
The spectral theorem for unitary operators based on the -spectrum
D. Alpay, F. Colombo, D. P. Kimsey +1
The quaternionic spectral theorem has already been considered in the literature, see e.g. [22], [31], [32], however, except for the finite dimensional case in which the notion of s…