The octonionic Bergman kernel for the unit ball

DOI10.1007/S00006-018-0877-4zbMath1400.30055OpenAlexW2808607907MaRDI QIDQ1668594

Jinxun Wang, Xing Min Li

Publication date: 29 August 2018

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-018-0877-4

zbMATH Keywords

Bergman kerneloctonionic analysis

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Bergman spaces and Fock spaces (30H20)

Related Items (3)

Cauchy formulae and Hardy spaces in discrete octonionic analysis ⋮ The octonionic Bergman kernel for the half space ⋮ Octonionic Kerzman-Stein operators

Cites Work

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• The Laurent series on the octonions
• The Cauchy integral formulas on the octonions.
• Orthogonal invariance of the Dirac operator and the critical index of subharmonicity for octonionic analytic functions
• Cauchy integrals on Lipschitz surfaces in octonionic space
• The Paley-Wiener theorem in the non-commutative and non-associative octonions
• Funzioni regolari nell'algebra di Cayley
• Orthonormal basis of the octonionic analytic functions
• The octonions
• Characterization of octonionic analytic functions

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