Clifford Algebras and their Applications in Mathematical Physics

Table of Contents

1. Altmetric Badge
   Book Overview
2. Altmetric Badge
   Chapter 1 Quantum Clifford Algebras
3. Altmetric Badge
   Chapter 2 Relations Between Witt Rings and Brauer Groups
4. Altmetric Badge
   Chapter 3 Clifford Algebra Tables
5. Altmetric Badge
   Chapter 4 Finite Geometry and the Table of Real Clifford Algebras
6. Altmetric Badge
   Chapter 5 Jordan Form in Clifford Algebra
7. Altmetric Badge
   Chapter 6 Elliptic Boundary Value Problems in Unbounded Domains
8. Altmetric Badge
   Chapter 7 Dirac Operators and Manifolds with Boundary
9. Altmetric Badge
   Chapter 8 Spin Structures and Harmonic Spinors on Riemann Surfaces
10. Altmetric Badge
    Chapter 9 Spherical Geometry and Möbius Transformations
11. Altmetric Badge
    Chapter 10 Cauchy Transforms and Bi-Axial Monogenic Power Functions
12. Altmetric Badge
    Chapter 11 Note on the Use of Spherical Vectorfields in Clifford Analysis
13. Altmetric Badge
    Chapter 12 Quaternionic Analysis and Transmission Problems
14. Altmetric Badge
    Chapter 13 C*-Algebras of Nonlocal Quaternionic Convolution Type Operators
15. Altmetric Badge
    Chapter 14 On the Solutons of D N $$\hat D$$ M F = 0
16. Altmetric Badge
    Chapter 15 Biregular Quaternionic Functions
17. Altmetric Badge
    Chapter 16 Monogenic and Holomorphic Functions
18. Altmetric Badge
    Chapter 17 Hypercomplex Differentiabilty and its Applications
19. Altmetric Badge
    Chapter 18 Clifford Algebras and Boundary Estimates for Harmonic Functions
20. Altmetric Badge
    Chapter 19 Regularity of Functions with Values in Clifford Algebra Based on a Generalized Axially Symmetric Potential Theory Operator
21. Altmetric Badge
    Chapter 20 On the Analogue of the $$\bar \partial$$ -Problem in Quaternionic Analysis
22. Altmetric Badge
    Chapter 21 Hurwitz Pairs and Clifford Algebra Representations
23. Altmetric Badge
    Chapter 22 On the Bergmann Kernel Function in the Clifford Analysis
24. Altmetric Badge
    Chapter 23 SO ( m )-Invariant Operators on Clifford Tensors
25. Altmetric Badge
    Chapter 24 Invariant Differential Operators on Polynomial- Valued Functions
26. Altmetric Badge
    Chapter 25 A Distributional Approach to Vector Manifolds
27. Altmetric Badge
    Chapter 26 Clifford Analysis for Higher Spins
28. Altmetric Badge
    Chapter 27 Quaternionic Operator Calculus and Domain Perturbation Problems
29. Altmetric Badge
    Chapter 28 A Hamiltonian Model of Dissipation with Clifford Algebraic Generalizations
30. Altmetric Badge
    Chapter 29 A Formulation of Hamiltonian Mechanics Using Geometric Calculus
31. Altmetric Badge
    Chapter 30 Local Automorphism Invariance: a Generalization of General Relativity
32. Altmetric Badge
    Chapter 31 Differential Forms in Geometric Calculus
33. Altmetric Badge
    Chapter 32 Clifford Valued Convolution Operator Algebras on the Heisenberg Group
34. Altmetric Badge
    Chapter 33 Classical Solutions of the Dirac Equation: Bound Coulomb States in Aharonov-Bohm and Zeeman Fields
35. Altmetric Badge
    Chapter 34 Geometric Algebra Versus Numerical Cartesianism
36. Altmetric Badge
    Chapter 35 Classification of Multivector Theories and the Modification of the Postulates of Physics
37. Altmetric Badge
    Chapter 36 The “Ideal” Approach to Spinors Reconsidered
38. Altmetric Badge
    Chapter 37 Geometric Aspects of Spinors
39. Altmetric Badge
    Chapter 38 A Basis for Double Solution Theory
40. Altmetric Badge
    Chapter 39 Spatial Inversion and Spinors
41. Altmetric Badge
    Chapter 40 Non Abelian Gauge Fields in the Real Clifford Algebra of Space Time
42. Altmetric Badge
    Chapter 41 Spin Gauge Theories: Principles and Predictions
43. Altmetric Badge
    Chapter 42 Gravity as a Gauge Theory in the Spacetime Algebra
44. Altmetric Badge
    Chapter 43 Cosmological Consequences of a Flat-Space Theory of Gravity
45. Altmetric Badge
    Chapter 44 Zitterbewegung and Electron Structure
46. Altmetric Badge
    Chapter 45 Separation of the Dirac Equation and Positive Definiteness of Quantum Numbers