Higher order gradients of monogenic functions

DOI10.1007/s12220-021-00734-wOpenAlexW4205920458MaRDI QIDQ2061525

Luca Baracco, Stefano Pinton

Publication date: 15 December 2021

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.04240

zbMATH Keywords

Clifford algebrasquaternionsoctonionssubharmonic functions

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05)

Cites Work

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• Complete orthogonal Appell systems for spherical monogenics
• On the theory of harmonic functions of several variables
• Iterated integral operators in Clifford analysis
• Cauchy-Riemann operators in octonionic analysis
• An extension theorem for regular functions of two quaternionic variables
• Subharmonicity of powers of octonion-valued monogenic functions and some applications
• Extension of Holomorphic Functions From One Side of a Hypersurface
• Generalization of the Cauchy-Riemann Equations and Representations of the Rotation Group
• On higher gradients of harmonic functions

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