Download or read book The Schwarz Function and Its Generalization to Higher Dimensions written by Harold S. Shapiro and published by John Wiley & Sons. This book was released on 1992-04-16 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Schwarz function originates in classical complex analysis and potential theory. Here the author presents the advantages favoring a mode of treatment which unites the subject with modern theory of distributions and partial differential equations thus bridging the gap between two-dimensional geometric and multi-dimensional analysts. Examines the Schwarz function and its relationship to recent investigations regarding inverse problems of Newtonian gravitation, free boundaries, Hele-Shaw flows and the propagation of singularities for holomorphic p.d.e.