Recent and new results on octonionic Bergman and Szegö kernels

DOI10.1002/MMA.7316MaRDI QIDQ6560082

R. S. Kraußhar

Publication date: 21 June 2024

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

Bergman kernelreproducing kernelsoctonionsgeneralized trigonometric functionsSzegö kernelgeneralized function theories

Mathematics Subject Classification ID

Other generalizations of function theory of one complex variable (32A30) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Slice regular functions on real alternative algebras
• The Laurent series on the octonions
• Zeros of regular functions of quaternionic and octonionic variable: a division lemma and the camshaft effect
• The Cauchy integral formulas on the octonions.
• Cauchy-Riemann operators in octonionic analysis
• The octonionic Bergman kernel for the unit ball
• Funzioni regolari nell'algebra di Cayley
• Function theories in Cayley-Dickson algebras and number theory
• Conformal mappings revisited in the octonions and Clifford algebras of arbitrary dimension
• Differential topological aspects in octonionic monogenic function theory
• The octonionic Bergman kernel for the half space
• Slice Dirac operator over octonions
• On the structure of octonion regular functions
• Harmonic Function Theory
• Szegö and Polymonogenic Bergman Kernels for Half-Space and Strip Domains, and Single-Periodic Functions in Clifford Analysis
• The octonions
• Bergman kernels for rectangular domains and multiperiodic functions in Clifford analysis
• Characterization of octonionic analytic functions
• Sedenions: Algebra and analysis

Related Items (1)

Octonionic monogenic and slice monogenic Hardy and Bergman spaces

This page was built for publication: Recent and new results on octonionic Bergman and Szegö kernels

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6560082)