The octonionic Bergman kernel for the half space

DOI10.1007/s00006-020-01087-3zbMath1451.30099arXiv1910.01478OpenAlexW3053030380MaRDI QIDQ2204136

Xing Min Li, Jinxun Wang

Publication date: 15 October 2020

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

Full work available at URL: https://arxiv.org/abs/1910.01478

zbMATH Keywords

Bergman kerneloctonionsoctonionic 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 ⋮ Unnamed Item ⋮ Octonionic Kerzman-Stein operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• 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
• The octonionic Bergman kernel for the unit ball
• Funzioni regolari nell'algebra di Cayley
• Orthonormal basis of the octonionic analytic functions
• Harmonic Function Theory
• The octonions
• Harmonic Bergman Functions on Half-Spaces
• Characterization of octonionic analytic functions

This page was built for publication: The octonionic Bergman kernel for the half space