Schwarz Function & Its Gen To
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Overview
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.
Synopsis
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.
Booknews
Expanded from a series of five lectures to an audience of classical function theorists at a conference in Fayetteville, Florida, April 1988. Discusses the Schwartz function in a treatment that combines classical complex analysis and potential theory, with the modern theory of distributions and partial differential equations. Annotation c. Book News, Inc., Portland, OR (booknews.com)