A Fractional Dirac Operator

DOI10.1007/978-3-319-29116-1_2zbMath1394.47047OpenAlexW2488015554MaRDI QIDQ2975051

Swanhild Bernstein

Publication date: 11 April 2017

Published in: Noncommutative Analysis, Operator Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-29116-1_2

zbMATH Keywords

Clifford analysisfractional LaplacianRiesz potentialsfractional Dirac operatorfractional Hilbert operatorRiesz integro-differentiation

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) General theory of partial differential operators (47F05)

Related Items (8)

A QUATERNIONIC FRACTIONAL BOREL–POMPEIU-TYPE FORMULA ⋮ Fractional Riesz-Hilbert-type transforms and associated monogenic signals ⋮ A FRACTIONAL BOREL–POMPEIU-TYPE FORMULA FOR HOLOMORPHIC FUNCTIONS OF TWO COMPLEX VARIABLES ⋮ On fractional semidiscrete Dirac operators of Lévy–Leblond type ⋮ Hardy decomposition of first order Lipschitz functions by Clifford algebra-valued harmonic functions ⋮ A fractional Borel–Pompeiu type formula and a related fractional ψ−$$ \psi - $$Fueter operator with respect to a vector‐valued function ⋮ Fractional slice regular functions of a quaternionic variable ⋮ Relativistic Wave Equations on the Lattice: An Operational Perspective

This page was built for publication: A Fractional Dirac Operator