Geometric Theory of Generalized Functions with Applications to General Relativity

Over the past few years a certain shift of focus within the theory of algebras of generalized functions (in the sense of J. F. Colombeau) has taken place. Originating in infinite dimensional analysis and initially applied mainly to problems in nonlinear partial differential equations involving singularities, the theory has undergone a change both in in­ ternal structure and scope of applicability, due to a growing number of applications to questions of a more geometric nature. The present b...