The Schwarz Function and Its Generalization to Higher Dimensions (The University of Arkansas Lecture Notes in the Mathematical Sciences, Band 4) - Hardcover

Shapiro, Harold S.

 
9780471571278: The Schwarz Function and Its Generalization to Higher Dimensions (The University of Arkansas Lecture Notes in the Mathematical Sciences, Band 4)

Inhaltsangabe

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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Über die Autorin bzw. den Autor

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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