4 citations · 10 across the 32 of their papers we have counts for
3 papers · 1 filter
The -resolvent estimates for the Spinor Dirac operator on manifolds with boundary conditions
Ivan Beschastnyi, Fabrizio Colombo, Simao Andrade Lucas +1
The aim of this paper is to show that the spectral theory based on the S-spectrum is particularly well suited for the Dirac operator on manifolds, even in cases where the operator…
An introduction to the fine structures on the -spectrum
Fabrizio Colombo, Antonino De Martino, Stefano Pinton +2
Holomorphic functions are fundamental in operator theory and their Cauchy formula is a crucial tool for defining functions of operators. The Fueter-Sce extension theorem (often cal…
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…