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Title of Journal: Adv Appl Clifford Algebras

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Abbravation: Advances in Applied Clifford Algebras

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SP Birkhäuser Verlag Basel

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DOI

10.1016/j.actamat.2014.02.029

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1661-4909

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Operator Identities in Emphasis Type="Italic"q/

Authors: K Coulembier F Sommen
Publish Date: 2011/03/02
Volume: 21, Issue: 4, Pages: 677-696
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Abstract

In this paper we define a qdeformation of the Dirac operator as a generalization of the one dimensional qderivative This is done in the abstract setting of radial algebra This leads to a qDirac operator in Clifford analysis The qintegration on mathbbRm for which the qDirac operator satisfies Stokes’ formula is defined The orthogonal qClifford Hermite polynomials for this integration are briefly studied

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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
  4. Half Dirichlet Problems and Decompositions of Poisson Kernels
  5. Differential Operators Associated to the Cauchy-Fueter Operator in Quaternion Algebra
  6. Properties of Solutions to A-Harmonic System and A-Dirac System
  7. Matrix Mechanics of the Relativistic Point Particle and String in Clifford Space
  8. Harmonic Forms on Conformal Euclidean Manifolds: The Clifford Multivector Approach
  9. Two Novel Algebraic Techniques for Quaternion Least Squares Problems in Quaternionic Quantum Mechanics
  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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