The Schwarz Function and Its Generalization to Higher Dimensions (Hardcover)

Hardcover. 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. Based on a series of lectures delivered at the University of Arkansas on the Schwarz function - a tool in the geometry theory of complex analysis - this text explores the relationship between the Schwarz function of an analytic curve and complex analysis, operator theory and differential equations. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.…