Hypermonogenic functions and Möbius transformations

DOI10.1007/BF03219123zbMath1221.30105OpenAlexW1981502699MaRDI QIDQ638953

Sirkka-Liisa Eriksson-Bique, Heinz Leutwiler

Publication date: 17 September 2011

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03219123

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Monogenic and polygenic functions of one complex variable (30A05)

Related Items (14)

The static Maxwell system in three dimensional axially symmetric inhomogeneous media and axially symmetric generalization of the Cauchy-Riemann system ⋮ The Schwarz lemma for functions with values in \(C(V_{n,0})\) ⋮ The Schwarz type lemma in upper half space in Clifford analysis ⋮ On \(k\)-hypermonogenic functions and their mean value properties ⋮ A hyperbolic Dirac operator and its kernels ⋮ Clifford analysis with higher order kernel over unbounded domains ⋮ The Schwarz lemma in Clifford analysis ⋮ Hypermonogenic functions and their dual functions ⋮ Hyperholomorphic functions ⋮ Some integral representations and singular integral over plane in Clifford analysis ⋮ Some properties ofk-hypergenic functions in Clifford analysis ⋮ On hypermonogenic functions ⋮ Contributions to the theory of hypermonogenic functions ⋮ Complexk-hypermonogenic functions in complex Clifford analysis

Cites Work

• Hyperholomorphic functions in \(\mathbb R^3\)
• Möbius transformations in several dimensions
• On modified quaternionic analysis in \(\mathbb{R}^3\)
• Rudiments of a function theory in \(\mathbb{R}^ 3\)
• Modified clifford analysis
• Modified quaternionic analysis in
• Quaternionic analysis
• More on modified quaternionic analysis in
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