A. Kolmogorov and M. Riesz Theorems for Octonion-valued Monogenic Functions

DOI10.1007/978-3-319-42529-0_3zbMath1388.30065OpenAlexW2551799408MaRDI QIDQ4637341

David E. Tepper, Sultan Catto, Alexander I. Kheyfits

Publication date: 18 April 2018

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

Full work available at URL: https://doi.org/10.1007/978-3-319-42529-0_3

zbMATH Keywords

harmonic functionsconjugation operatoroctonion-valued monogenic functions

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05)

Related Items

A. Kolmogorov and M. Riesz Theorems for Octonion-valued Monogenic Functions

Cites Work

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• The Cauchy integral formulas on the octonions.
• The Paley-Wiener theorem in the non-commutative and non-associative octonions
• Conjugate harmonic functions and Clifford algebras
• Three-line theorem on the octonions
• A superharmonic proof of the M. Riesz conjugate function theorem
• Subharmonicity of powers of octonion-valued monogenic functions and some applications
• Subharmonicity and a version of Riesz theorem on harmonic conjugates
• The octonions
• A. Kolmogorov and M. Riesz Theorems for Octonion-valued Monogenic Functions
• n -Dimensional Extensions of Theorems on Conjugate Functions
• On subharmonicity inequalities involving solutions of generalized Cauchy-Riemann equations
• On the best values of the constants in the theorem of M. Riesz, Zygmund and Kolmogorov