The noncommutative fractional Fourier law in bounded and unbounded domains

DOI10.1007/s11785-021-01159-7OpenAlexW3201781002MaRDI QIDQ2241297

Denis Deniz González, Fabrizio Colombo, Stefano Pinton

Publication date: 8 November 2021

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.04688

zbMATH Keywords

Robin boundary conditionsfractional diffusion processesfractional powers of vector operators\(S\)-spectrum approach

Mathematics Subject Classification ID

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

Related Items (8)

Harmonic and polyanalytic functional calculi on the \(S\)-spectrum for unbounded operators ⋮ A survey on the recent advances in the spectral theory on the S-spectrum ⋮ The fine structure of the spectral theory on the \(S\)-spectrum in dimension five ⋮ The spectral theorem for normal operators on a Clifford module ⋮ Towards a general \(\mathcal{F}\)-resolvent equation and Riesz projectors ⋮ Axially harmonic functions and the harmonic functional calculus on the \(S\)-spectrum ⋮ Universality property of the \(S\)-functional calculus, noncommuting matrix variables and Clifford operators ⋮ Fractional powers of higher-order vector operators on bounded and unbounded domains

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