A Hyperbolic Interpretation of Cauchy-Type Kernels in Hyperbolic Function Theory

DOI10.1007/978-3-0346-0246-4_4zbMath1220.30001OpenAlexW107840398MaRDI QIDQ5392618

Sirkka-Liisa Eriksson, Heikki Orelma

Publication date: 13 April 2011

Published in: Hypercomplex Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0346-0246-4_4

zbMATH Keywords

Laplace-Beltrami operatormean value theoremhypermonogenic function

Mathematics Subject Classification ID

Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Monogenic and polygenic functions of one complex variable (30A05)

Related Items (4)

On \(k\)-hypermonogenic functions and their mean value properties ⋮ Mean value properties for the Weinstein equation using the hyperbolic metric ⋮ The Fourier transform associated to the \(k\)-hyperbolic Dirac operator ⋮ Hyperbolic Laplace operator and the Weinstein equation in \(\mathbb R^3\)

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