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The Schwarz Function and Its Generalization to Higher Dimensions by Harold S. Shapiro

The Schwarz Function and Its Generalization to Higher Dimensions

by Harold S. Shapiro
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Book cover type: Hardcover
  • ISBN13: 9780471571278
  • Binding: Hardcover
  • Subject: N/A
  • Publisher: Wiley-Interscience
  • Publisher Imprint: Wiley-Interscience
  • Publication Date:
  • Pages: 128
  • Original Price: GBP 232.95
  • Language: English
  • Edition: N/A
  • Item Weight: 354 grams
  • BISAC Subject(s): Calculus

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.

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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