Hypercomplex Analysis and Applications

Editors:

ISBN: 978-3-0346-0245-7 (Print) 978-3-0346-0246-4 (Online)

Table of contents (19 chapters)

  1. Front Matter

    Pages i-vii

  2. No Access

    Book Chapter

    Pages 1-11

    On the Geometry of the Quaternionic Unit Disc

  3. No Access

    Book Chapter

    Pages 13-28

    Bounded Perturbations of the Resolvent Operators Associated to the $ \mathcal {F}$ -Spectrum

  4. No Access

    Book Chapter

    Pages 29-41

    Harmonic and Monogenic Functions in Superspace

  5. No Access

    Book Chapter

    Pages 43-59

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

  6. No Access

    Book Chapter

    Pages 61-80

    Gyrogroups in Projective Hyperbolic Clifford Analysis

  7. No Access

    Book Chapter

    Pages 81-93

    Invariant Operators of First Order Generalizing the Dirac Operator in 2 Variables

  8. No Access

    Book Chapter

    Pages 95-107

    The Zero Sets of Slice Regular Functions and the Open Mapping Theorem

  9. No Access

    Book Chapter

    Pages 109-123

    A New Approach to Slice Regularity on Real Algebras

  10. No Access

    Book Chapter

    Pages 125-137

    On the Incompressible Viscous Stationary MHD Equations and Explicit Solution Formulas for Some Three-dimensional Radially Symmetric Domai

  11. No Access

    Book Chapter

    Pages 139-148

    The Fischer Decomposition for the H-action and Its Applications

  12. No Access

    Book Chapter

    Pages 149-159

    Bochner’s Formulae for Dunkl-Harmonics and Dunkl-Monogenics

  13. No Access

    Book Chapter

    Pages 161-180

    An Invitation to Split Quaternionic Analysis

  14. No Access

    Book Chapter

    Pages 181-193

    On the Hyperderivatives of Moisil–Théodoresco Hyperholomorphic Functions

  15. No Access

    Book Chapter

    Pages 195-211

    Deconstructing Dirac Operators. II: Integral Representation Formulas

  16. No Access

    Book Chapter

    Pages 213-232

    A Differential Form Approach to Dirac Operators on Surfaces

  17. No Access

    Book Chapter

    Pages 233-247

    Killing Tensor Spinor Forms and Their Application in Riemannian Geometry

  18. No Access

    Book Chapter

    Pages 249-260

    Construction of Conformally Invariant Differential Operators

  19. No Access

    Book Chapter

    Pages 261-274

    Remarks on Holomorphicity in Three Settings: Complex, Quaternionic, and Bicomplex

  20. No Access

    Book Chapter

    Pages 275-282

    The Gauss-Lucas Theorem for Regular Quaternionic Polynomials