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Schwarz Function and Its Generalization to Higher Dimensions

HS Shapiro
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      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.
      Format: CONTRIBUTORS: HS Shapiro EAN: 9780471571278 COUNTRY: United States PAGES: WEIGHT: 369 g HEIGHT: 240 cm
      PUBLISHED BY: John Wiley & Sons Inc DATE PUBLISHED: 1992-04-14 CITY: GENRE: MATHEMATICS / General WIDTH: 160 cm SPINE:

      Book Themes:

      Complex analysis, complex variables, Differential calculus and equations

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      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.
      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.
      Format: CONTRIBUTORS: HS Shapiro EAN: 9780471571278 COUNTRY: United States PAGES: WEIGHT: 369 g HEIGHT: 240 cm
      PUBLISHED BY: John Wiley & Sons Inc DATE PUBLISHED: 1992-04-14 CITY: GENRE: MATHEMATICS / General WIDTH: 160 cm SPINE:

      Book Themes:

      Complex analysis, complex variables, Differential calculus and equations

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      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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