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The Schwarz Function and Its Generalization to Higher Dimensions

By: Harold S. Shapiro

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Hardcover | 4 March 1992 | Edition Number 1

At a Glance

Hardcover
124 Pages

Dimensions(cm)
24.0 x 16.0 x 1.5

Hardcover

RRP $547.75

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The Schwarz function originates in classical complex analysis and potential theory. In this text, the author presents the advantages of the function, favouring a mode of treatment which unites the subject with modern theory of distributions and partial differential equations - thus bridging the gap between two-dimensional analysts. The author 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 partial differential equations.

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