Clifford Algebras and Their Application in Mathematical Physics: Aachen 1996

Front Matter....Pages i-xxxii
Dirac Operators and Clifford Geometry — New Unifying Principles in Particle Physics?....Pages 1-10
On the Hayman Uniqueness Problem for Polyharmonic Functions....Pages 11-16
Left-Linear and Nonlinear Riemann Problems in Clifford Analysis....Pages 17-30
Spin Structures and Harmonic Spinors on Nonhyperelliptic Riemann Surfaces of Small Genera....Pages 31-43
Decomposition of Analytic Hyperbolically Harmonic Functions....Pages 45-51
Spin Gauge Theories: A Summary....Pages 53-56
Manifolds with and without Embeddings....Pages 57-65
Dirac Equation in the Clifford Algebra of Space....Pages 67-87
Dirac Theory from a Field Theoretic Point of View....Pages 89-107
On Some Applications of the Biharmonic Equation....Pages 109-128
Spinor Particle Mechanics....Pages 129-143
Clifford Analysis and Elliptic Boundary Value Problems in Unbounded Domains....Pages 145-160
Twistors and Clifford Algebras....Pages 161-173
How Many Essentialy Different Function Theories Exist?....Pages 175-184
Variational Property of the Peano Kernel for Harmonicity Differences of Order p ....Pages 185-199
Clifford Analysis on the Sphere....Pages 201-215
Type-Changing Transformations of Pseudo-Euclidean Hurwitz Pairs, Clifford Analysis, and Particle Lifetimes....Pages 217-226
Modified Quaternionic Analysis in ℝ 4 ....Pages 227-237
Geometric Algebra and Lobachevski Geometry....Pages 239-245
Generalizing the (F,G)- Derivative in the Sense of Bers....Pages 247-257
Formes Quadratiques De Hardy-Weinberg et Algèbres de Clifford....Pages 259-266
On Dirac Equations in Curved Space-Times....Pages 267-273
Some Partial Differential Equations in Clifford Analysis....Pages 275-289
Teaching Clifford Algebra as Physical Mathematics....Pages 291-304
Polydimensional Relativity, a Classical Generalization of the Automorphism Invariance Principle....Pages 305-317
Subluminal and Superluminal Electromagnetic Waves and the Lepton Mass Spectrum....Pages 319-346
Higher Spin and the Spacetime Algebra....Pages 347-368
Curved Radon Transforms in Clifford Analysis....Pages 369-381
On a Class of Non-Linear Boundary Value Problems....Pages 383-389
Pin Structures and the Dirac Operator on Real Projective Spaces and Quadrics....Pages 391-399
Construction of Monopoles and Instantons by Using Spinors and the Inversion Theorem....Pages 401-421
Determinants, Manifolds with Boundary and Dirac Operators....Pages 423-432
New Dynamical Equations for Many Particle System on the Basis of Multicomplex Algebra....Pages 433-441
Back Matter....Pages 443-447