Schwarz Function and Its Generalization to Higher Dimensions

Inbunden, Engelska, 1992

Del 4 i serien University of Arkansas Lecture Notes in the Mathematical Sciences

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Beskrivning

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.

Produktinformation

Utgivningsdatum:1992-04-14
Mått:160 x 240 x 15 mm
Vikt:369 g
Format:Inbunden
Språk:Engelska
Serie:University of Arkansas Lecture Notes in the Mathematical Sciences
Antal sidor:128
Förlag:John Wiley & Sons Inc
ISBN:9780471571278

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Mer om författaren

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.

Innehållsförteckning

The Schwarz Principle of Reflection. The Logarithmic Potential, Balayage, and Quadrature Domains. Examples of ``Quadrature Identities''. Quadrature Domains: Basic Properties, 1. Quadrature Domains: Basic Properties, 2. Schwarzian Reflection, Revisited. Projectors from L? (dOmega) to H? (dOmega). The Friedrichs Operator. Concluding Remarks. Bibliography. Index.