Some Notions of Subharmonicity over the Quaternions

DOI10.1007/978-3-030-23854-4_4zbMath1442.30059arXiv1812.08459OpenAlexW2903850991MaRDI QIDQ5115032

Caterina Stoppato

Publication date: 29 June 2020

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.08459

zbMATH Keywords

Green functionsquaternionssubharmonic functions

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Harmonic, subharmonic, superharmonic functions on other spaces (31C05)

Related Items (2)

On some quaternionic series ⋮ On the conformal mappings and the global operator \(G\)

Cites Work

• Unnamed Item
• A new series expansion for slice regular functions
• Twistor transforms of quaternionic functions and orthogonal complex structures
• Invariant metrics for the quaternionic Hardy space
• Regular Moebius transformations of the space of quaternions
• Slice regular functions on real alternative algebras
• A new theory of regular functions of a quaternionic variable
• Regular Functions of a Quaternionic Variable
• Regular vs. Classical Möbius Transformations of the Quaternionic Unit Ball
• The Schwarz-Pick lemma for slice regular functions
• Slice Regularity and Harmonicity on Clifford Algebras
• Moebius transformations and the Poincare distance in the quaternionic setting

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