Hyperbolic extensions of integral formulas

DOI10.1007/s00006-010-0211-2zbMath1203.30053OpenAlexW2000909653MaRDI QIDQ605278

Sirkka-Liisa Eriksson

Publication date: 23 November 2010

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

Full work available at URL: https://doi.org/10.1007/s00006-010-0211-2

zbMATH Keywords

hyperbolic metricmonogenic functionmodified Dirac operatorhypermonogenic function

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

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General integral formulas for \(k\)-hyper-mono-genic functions ⋮ Two-sided hypergenic functions ⋮ Boundary value problems for hypergenic function vectors ⋮ Almansi-type decomposition theorem for bi-\(k\)-regular functions in the Clifford algebra \(Cl_{2n+2,0} (\mathbb{R})\) ⋮ On \(k\)-hypermonogenic functions and their mean value properties ⋮ A hyperbolic Dirac operator and its kernels ⋮ Homogeneous \((\alpha,k)\)-polynomial solutions of the fractional Riesz system in hyperbolic space ⋮ Quaternionic Hyperbolic Function Theory ⋮ A New Cauchy Type Integral Formula for Quaternionic k-hypermonogenic Functions ⋮ Hyperbolic function theory in the skew-field of quaternions ⋮ On Vekua systems and their connections to hyperbolic function theory in the plane ⋮ Hyperbolic Laplace operator and the Weinstein equation in \(\mathbb R^3\) ⋮ On hypermonogenic functions ⋮ Complexk-hypermonogenic functions in complex Clifford analysis

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