On the Cauchy-Szegő kernel for quaternion Siegel upper half-space

DOI10.1007/s11785-012-0282-2zbMath1279.43003arXiv1210.2541OpenAlexW2106675659MaRDI QIDQ371901

Irina Markina, Wei Wang, Der-Chen E. Chang

Publication date: 10 October 2013

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.2541

zbMATH Keywords

Hardy spaceprojection operatorCauchy-Szegő kernelquaternion regular functionsSiegel upper half-space

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) (H^p)-spaces (42B30) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

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Cites Work

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• The tangential Cauchy-Fueter complex on the quaternionic Heisenberg group
• On the optimal control method in quaternionic analysis
• Explicit resolutions for the complex of several Fueter operators
• Quaternion \(H\)-type group and differential operator \(\Delta_\lambda \)
• On non-homogeneous Cauchy-Fueter equations and Hartogs' phenomenon in several quaternionic variables
• Hartog's phenomenon for polyregular functions and projective dimension of related modules over a polynomial ring
• Regular functions of several quaternionic variables and the Cauchy-Fueter complex
• Analysis of Dirac systems and computational algebra.
• Non-commutative linear algebra and plurisubharmonic functions of quaternionic variables.
• The \(k\)-Cauchy-Fueter complex, Penrose transformation and hartogs phenomenon for quaternionic \(k\)-regular functions
• Anisotropic quaternion Carnot groups: Geometric analysis and Green function
• Invariant resolutions for several Fueter operators
• Geometric analysis on H -type groups related to division algebras
• Analysis of the module determining the properties of regular functions of several quaternionic variables.