The structure of the fractional powers of the noncommutative Fourier law

DOI10.1002/mma.5719zbMath1447.47062OpenAlexW2951802584MaRDI QIDQ5214873

Fabrizio Colombo, Marco M. Peloso, Stefano Pinton

Publication date: 5 February 2020

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.5719

zbMATH Keywords

\(S\)-spectrumfractional diffusion processesfractional powers of vector operatorsfractional Fouries law

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Heat equation (35K05) Functional calculus for linear operators (47A60) Spectrum, resolvent (47A10) Diffusion processes (60J60) Applications of operator theory to differential and integral equations (47N20)

Related Items (13)

Harmonic and polyanalytic functional calculi on the \(S\)-spectrum for unbounded operators ⋮ The \(\mathcal{F}\)-resolvent equation and Riesz projectors for the \(\mathcal{F}\)-functional calculus ⋮ A survey on the recent advances in the spectral theory on the S-spectrum ⋮ Characterization of the condition S-spectrum of a compact operator in a right quaternionic Hilbert space ⋮ Quaternionic triangular linear operators ⋮ Infinite-order differential operators acting on entire hyperholomorphic functions ⋮ The noncommutative fractional Fourier law in bounded and unbounded domains ⋮ An introduction to hyperholomorphic spectral theories and fractional powers of vector operators ⋮ Fractional powers of vector operators with first order boundary conditions ⋮ The spectral theorem for normal operators on a Clifford module ⋮ Towards a general \(\mathcal{F}\)-resolvent equation and Riesz projectors ⋮ 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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