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The Schwarz Function and Its Generalisation to Higher Dimensions
Harold S. Shapiro
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Description for The Schwarz Function and Its Generalisation to Higher Dimensions
Hardcover. Based on a series of lectures delivered at the University of Arkansas on the Schwarz function - a tool in the geometry theory of complex analysis - this text explores the relationship between the Schwarz function of an analytic curve and complex analysis, operator theory and differential equations. Series: University of Arkansas Lecture Notes in the Mathematical Sciences S. Num Pages: 128 pages, black & white illustrations. BIC Classification: PBKD; PBKJ. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 245 x 165 x 14. Weight in Grams: 358.
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.
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.
Product Details
Format
Hardback
Publication date
1992
Publisher
John Wiley and Sons Ltd United States
Number of pages
128
Condition
New
Series
University of Arkansas Lecture Notes in the Mathematical Sciences S.
Number of Pages
128
Place of Publication
, United States
ISBN
9780471571278
SKU
V9780471571278
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-50
About Harold S. Shapiro
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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