Axially harmonic functions and the harmonic functional calculus on the \(S\)-spectrum

DOI10.1007/s12220-022-01062-3OpenAlexW4307648073MaRDI QIDQ2091065

Antonino De Martino, Fabrizio Colombo, Irene Sabadini, Stefano Pinton

Publication date: 31 October 2022

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.08162

zbMATH Keywords

resolvent equationharmonic analysis\(S\)-spectrumharmonic functional calculus\(F\)-functional calculusintegral representation of axially harmonic functionsRiesz projectors

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Spectrum, resolvent (47A10)

Related Items

A polyanalytic functional calculus of order 2 on the 𝑆-spectrum, Harmonic and polyanalytic functional calculi on the \(S\)-spectrum for unbounded operators, The Fueter-Sce mapping and the Clifford–Appell polynomials, 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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