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.
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About the Author
Harold Seymour Shapiro is a professor emeritus of mathematics at the Royal Institute of Technology in Stockholm, Sweden, best known for inventing the so-called Shapiro polynomials also known as Golay-Shapiro polynomials or Rudin-Shapiro polynomials and for pioneering work on quadrature domains.
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The Schwarz function and its generalization to higher dimensions Harold S. Shapiro. The University of Arkansas lecture notes in the mathematical sciences 9.
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The Schwarz function and its generalization to higher dimensions Harold S. Shapiro. The University of Arkansas lecture notes in the mathematical sciences 9.
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ISBN 10: 047157127X
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