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math.SP2026
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…
math.SP2024
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…