Fractional powers of vector operators with first order boundary conditions

DOI10.1016/j.geomphys.2020.103618zbMath1442.47066OpenAlexW3005935431MaRDI QIDQ2309661

Fabrizio Colombo, Denis Deniz González, Stefano Pinton

Publication date: 1 April 2020

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2020.103618

zbMATH Keywords

S-spectrumfractional diffusion processesfractional evolution processesfractional powers of vector operatorsthe \(S\)-spectrum approach

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Operators arising in mathematical physics (47B93) Quaternionic operator theory (47S05)

Related Items (11)

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 ⋮ The fine structure of the spectral theory on the \(S\)-spectrum in dimension five ⋮ 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 ⋮ 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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