Slice Dirac operator over octonions

DOI10.1007/s11856-020-2067-zzbMath1479.30038arXiv1908.01383OpenAlexW3088847401MaRDI QIDQ2218720

Irene Sabadini, Ming Jin, Guang Bin Ren

Publication date: 18 January 2021

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.01383

zbMATH Keywords

octonionsslice regularityFueter regularity

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items (9)

Structure of octonionic Hilbert spaces with applications in the Parseval equality and Cayley–Dickson algebras ⋮ Global Plemelj formula of slice Dirac operator in octonions with complex spine ⋮ Slice Fueter-regular functions ⋮ Slice quaternionic analysis in two variables ⋮ Extension theorem and representation formula in non-axially-symmetric domains for slice regular functions ⋮ Octonionic Kerzman-Stein operators ⋮ Weak slice regular functions on the \(n\)-dimensional quadratic cone of octonions ⋮ Slice monogenic functions of a Clifford variable via the 𝑆-functional calculus ⋮ Function theories in Cayley-Dickson algebras and number theory

Cites Work

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• Slice hyperholomorphic Schur analysis
• Twistor transforms of quaternionic functions and orthogonal complex structures
• \(G_{2}\)-structures and octonion bundles
• The quaternionic evolution operator
• An extension theorem for slice monogenic functions and some of its consequences
• Slice regular functions on real alternative algebras
• Noncommutative functional calculus. Theory and applications of slice hyperholomorphic functions
• Zeros of regular functions of quaternionic and octonionic variable: a division lemma and the camshaft effect
• Slice monogenic functions
• Regular functions on the space of Cayley numbers
• The Atiyah-Singer index theorem for families of Dirac operators: Two heat equation proofs
• Singular integrals on star-shaped Lipschitz surfaces in the quaternionic space
• Die Funktionentheorie der Differentialgleichungen \(\Delta u=0\) und \(\Delta\Delta u=0\) mit vier reellen Variablen
• Funzioni regolari nell'algebra di Cayley
• Clifford algebras. Applications to mathematics, physics, and engineering. Papers from the 6th international conference on Clifford algebras and their applications in mathematical physics, Cookeville, TN, USA, May 20--25, 2002
• Growth and distortion theorems for slice monogenic functions
• A new approach to Cullen-regular functions of a quaternionic variable
• Differentiable manifolds in complex Euclidean space
• An integral theorem for analytic intrinsic functions on quaternions
• Julia theory for slice regular functions
• Regular Functions of a Quaternionic Variable
• The algebra of slice functions
• Quaternionic analysis
• The octonions
• Slice Regular Functions on Regular Quadratic Cones of Real Alternative Algebras

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