A polyanalytic functional calculus of order 2 on the 𝑆-spectrum

DOI10.1090/proc/16285OpenAlexW4303188533MaRDI QIDQ5889229

Antonino De Martino, Stefano Pinton

Publication date: 19 April 2023

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.09125

zbMATH Keywords

functional calculuspolyanalytic functions\(S\)-spectrumquarernions

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Functional calculus for linear operators (47A60) Spectrum, resolvent (47A10)

Related Items

Harmonic and polyanalytic functional calculi on the \(S\)-spectrum for unbounded operators, Properties of a polyanalytic functional calculus on the S‐spectrum, The fine structure of the spectral theory on the \(S\)-spectrum in dimension five, Nuclearity and Grothendieck-Lidskii formula for quaternionic operators

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