Octonionic monogenic and slice monogenic Hardy and Bergman spaces

DOI10.1515/FORUM-2023-0039zbMATH Open1548.30141MaRDI QIDQ6587574

R. S. Kraußhar, Irene Sabadini, Fabrizio Colombo

Publication date: 14 August 2024

Published in: Forum Mathematicum (Search for Journal in Brave)

zbMATH Keywords

slice monogenic functionsoctonionic Hilbert spacesoctonionic monogenic functions

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Alternative rings (17D05)

Cites Work

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• Noncommutative Cauchy integral formula
• Slice regular functions on real alternative algebras
• The Laurent series on the octonions
• The Cauchy integral formulas on the octonions.
• Cauchy integrals on Lipschitz surfaces in octonionic space
• Regular functions on the space of Cayley numbers
• Cauchy-Riemann operators in octonionic analysis
• The octonionic Bergman kernel for the unit ball
• Funzioni regolari nell'algebra di Cayley
• Para-linearity as the nonassociative counterpart of linearity
• Differential topological aspects in octonionic monogenic function theory
• The octonionic Bergman kernel for the half space
• Octonionic Kerzman-Stein operators
• Weak slice regular functions on the \(n\)-dimensional quadratic cone of octonions
• On the structure of octonion regular functions
• Hilbert space with non-associative scalars. I
• Spectral representations of operators in Hilbert spaces over quaternions and octonions
• Szegö and Polymonogenic Bergman Kernels for Half-Space and Strip Domains, and Single-Periodic Functions in Clifford Analysis
• The octonions
• Michele Sce's Works in Hypercomplex Analysis
• Slice regular functions of several octonionic variables
• Characterization of octonionic analytic functions
• Structure of octonionic Hilbert spaces with applications in the Parseval equality and Cayley–Dickson algebras
• Recent and new results on octonionic Bergman and Szegö kernels

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On octonionic submodules generated by one element ⋮ The Teodorescu and the \(\Pi\)-operator in octonionic analysis and some applications

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