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Title of Journal: AACA

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Abbravation: Advances in Applied Clifford Algebras

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Birkhäuser-Verlag

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10.1007/s00281-009-0179-y

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1661-4909

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Half Dirichlet Problems and Decompositions of Pois

Authors: Richard Delanghe Tao Qian
Publish Date: 2007/06/09
Volume: 17, Issue: 3, Pages: 383-393
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Abstract

Following the previous study on the unit ball of Delanghe et al halfDirichlet problems for the upperhalf space are presented and solved The solutions further lead to decompositions of the Poisson kernels and the fact that the classical Dirichlet problems may be solved merely by using Cauchy transformation in the respective two contexts We show that the only domains for which the halfDirichlet problems are solvable in the same pattern are balls and halfspaces

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  2. On Polynomial Solutions of Generalized Moisil-Théodoresco Systems and Hodge-de Rham Systems
  3. Geometric Algebra to Model Uncertainties in the Discretizable Molecular Distance Geometry Problem
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  6. Matrix Mechanics of the Relativistic Point Particle and String in Clifford Space
  7. Harmonic Forms on Conformal Euclidean Manifolds: The Clifford Multivector Approach
  8. Two Novel Algebraic Techniques for Quaternion Least Squares Problems in Quaternionic Quantum Mechanics
  9. Operator Identities in q -Deformed Clifford Analysis
  10. Inverse Kinematics for a 6-DOF Walking Humanoid Robot Leg
  11. (1,1)-Forms Acting on Spinors on Kähler Surfaces
  12. Multiplicative Representation of a Hyperbolic non Distributive Algebra
  13. An Efficient Method for Solving Equations in Generalized Quaternion and Octonion Algebras
  14. On the Quaternionic B 2 -Slant Helices in the Euclidean Space E 4
  15. The octonions form an Azumaya algebra in certain braided linear Gr-categories
  16. On the Geometry of the Hyperbolic Scator Space in 1+2 Dimensions
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