Clifford Algebras and Their Application in Mathematical Physics : Aachen 1996

These papers represent a survey of developments around Clifford Analysis and its applications to theoretical physics.

Preface. Dirac Operators and Clifford Geometry - New Unifying Principles in Particle Physics; Th. Ackermann. On the Hayman Uniqueness Problem for Polyharmonic Functions; M.B. Balk, M.Ya. Mazalov. Left-Linear and Nonlinear Riemann Problems in Clifford Analysis; S. Bernstein. Spin Structures and Harmonic Spinors on Nonhyperelliptic Riemann Surfaces of Small Genera; J. Bures. Decomposition of Analytic Hyperbolically Harmonic Functions; P. Cerejeiras. Spin Gauge Theories: A Summary; J.S.R. Chisholm, R.S. Farwell. Manifolds with and Without Embeddings; J. Cnops. Dirac Equation in the Clifford Algebra of Space; C. Daviau. Dirac Theory from a Field Theoretic Point of View; B. Fauser. On Some Applications of the Biharmonic Equation; K. Gürlebeck. Spinor Particle Mechanics; D. Hestenes. Clifford Analysis and Elliptic Boundary Value Problems in Unbounded Domains; U. Kähler. Twistors and Clifford Algebras; J. Keller. How Many Essentially Different Function Theories Exist? V.V. Kisil. Variational Property of the Peano Kernel for Harmonicity Differences of Order p; W. Haussmann, O.I. Kounchev. Clifford Analysis on the Sphere; P. Van Lancker. Type-Changing Transformations of Pseudo-Euclidean Hurwitz Pairs, Clifford Analysis, and Particle Lifetimes; J. Lawrynowicz. Modified Quaternionic Analysis in R4; Th. Hempfling, H. Leutwiler. Geometric Algebra and Lobachevski Geometry; H. Li. Generalizing the (F,G)-Derivative in the Sense of Bers; H.R. Malonek. Formes quadratiques de Hardy-Weinberg et algèbres de Clifford; A. Micali. On Dirac Equations in Curved Space-Times; D. Miralles. Some Partial Differential Equations in Clifford Analysis; E. Obolashvili. Teaching Clifford Algebra as Physical Mathematics;J.M. Parra. Polydimensional Relativity, a Classical Generalization of the Automorphism Invariance Principle; W.M. Pezzaglia Jr. Subluminal and Superluminal Electromagnetic Waves and the Lepton Mass Spectrum; W.A. Rodrigues Jr., J. Vaz Jr. Higher Spin and the Spacetime Algebra; S. Somaroo. Curved Radon Transforms in Clifford Analysis; F. Sommen. On a Class of Non-Linear Boundary Value Problems; W. Sprössig. Pin Structures and the Dirac Operator on Real Projective Spaces and Quadrics; M. Cahen, et al. Construction of Monopoles and Instantons by Using Spinors and the Inversion Theorem; J. Vaz Jr. Determinants, Manifolds with Boundary and Dirac Operators; K.P. Wojciechowski, et al. New Dynamical Equations for Many Particle System on the Basis of Multicomplex Algebra; R. Yamaleev.