This second edition of Generalized Functions has been strengthened in many ways. The already extensive set of examples has been expanded. Since the publication

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. Origi

This book provides a simple introduction to a nonlinear theory of generalized functions introduced by J.F. Colombeau, which gives a meaning to any multiplicatio

Questions regarding the interplay of nonlinearity and the creation and propagation of singularities arise in a variety of fields-including nonlinear partial dif

This book presents recent and very elementary developments of a theory of multiplication of distributions in the field of explicit and numerical solutions of sy