↓ Skip to main content

Topics in Clifford Analysis

Overview of attention for book
Cover of 'Topics in Clifford Analysis'

Table of Contents

  1. Altmetric Badge
    Book Overview
  2. Altmetric Badge
    Chapter 1 Cauchy’s Formula in Clifford Analysis: An Overview
  3. Altmetric Badge
    Chapter 2 Quaternionic Hyperbolic Function Theory
  4. Altmetric Badge
    Chapter 3 Slice Regularity and Harmonicity on Clifford Algebras
  5. Altmetric Badge
    Chapter 4 Some Notions of Subharmonicity over the Quaternions
  6. Altmetric Badge
    Chapter 5 A Fatou Theorem and Poisson’s Integral Representation Formula for Elliptic Systems in the Upper Half-Space
  7. Altmetric Badge
    Chapter 6 Hardy Spaces for the Three-Dimensional Vekua Equation
  8. Altmetric Badge
    Chapter 7 Radial and Angular Derivatives of Distributions
  9. Altmetric Badge
    Chapter 8 Applications of Parabolic Dirac Operators to the Instationary Viscous MHD Equations on Conformally Flat Manifolds
  10. Altmetric Badge
    Chapter 9 Generalized Riesz Transforms, Quasi-Monogenic Functions and Frames
  11. Altmetric Badge
    Chapter 10 Quaternionic Operator Calculus for Boundary Value Problems of Micropolar Elasticity
  12. Altmetric Badge
    Chapter 11 Constructive Orthonormalisation of Monogenic Polynomials on a Finite Cylinder
  13. Altmetric Badge
    Chapter 12 Comments on an Orthogonal Family of Monogenic Functions on Spheroidal Domains
  14. Altmetric Badge
    Chapter 13 Newton’s Approach to General Algebraic Equations over Clifford Algebras
  15. Altmetric Badge
    Chapter 14 Connections in Euclidean and Non-commutative Geometry
  16. Altmetric Badge
    Chapter 15 Conformal Parametrisation of Loxodromes by Triples of Circles
  17. Altmetric Badge
    Chapter 16 Automorphic Forms and Dirac Operators on Conformally Flat Manifolds
  18. Altmetric Badge
    Chapter 17 Higher Order Fermionic and Bosonic Operators
  19. Altmetric Badge
    Chapter 18 Clifford Möbius Geometry
  20. Altmetric Badge
    Chapter 19 Separation of Variables in the Semistable Range
  21. Altmetric Badge
    Chapter 20 Variety of Idempotents in Nonassociative Algebras
  22. Altmetric Badge
    Chapter 21 Relativistic Wave Equations on the lattice: an operational perspective
  23. Altmetric Badge
    Chapter 22 Cauchy-Pompeiu Formula for Discrete Monogenic Functions
  24. Altmetric Badge
    Chapter 23 A Useful Transformation for Solving the Discrete Beltrami Equation and Reducing a Difference Equation of Second Order to a System of Equations of First Order
Attention for Chapter 5: A Fatou Theorem and Poisson’s Integral Representation Formula for Elliptic Systems in the Upper Half-Space
Altmetric Badge

Citations

dimensions_citation
3 Dimensions
You are seeing a free-to-access but limited selection of the activity Altmetric has collected about this research output. Click here to find out more.
Chapter title
A Fatou Theorem and Poisson’s Integral Representation Formula for Elliptic Systems in the Upper Half-Space
Chapter number 5
Book title
Topics in Clifford Analysis
Published by
Birkhäuser, Cham, January 2019
DOI 10.1007/978-3-030-23854-4_5
Book ISBNs
978-3-03-023853-7, 978-3-03-023854-4
Authors

Juan José Marín, José María Martell, Dorina Mitrea, Irina Mitrea, Marius Mitrea