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Bag om Quadrature Domains and Their Applications

Quadrature domains were singled out about 30 years ago by D. Aharonov and H.S. Shapiro in connection with an extremal problem in function theory. Since then, a series of coincidental discoveries put this class of planar domains at the center of crossroads of several quite independent mathematical theories, e.g., potential theory, Riemann surfaces, inverse problems, holomorphic partial differential equations, fluid mechanics, operator theory. The volume is devoted to recent advances in the theory of quadrature domains, illustrating well the multi-facet aspects of their nature. The book contains a large collection of open problems pertaining to the general theme of quadrature domains.

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  • Sprog:
  • Engelsk
  • ISBN:
  • 9783764371456
  • Indbinding:
  • Hardback
  • Sideantal:
  • 308
  • Udgivet:
  • 27. januar 2005
  • Størrelse:
  • 175x23x250 mm.
  • Vægt:
  • 716 g.
  • 8-11 hverdage.
  • 21. november 2024
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Beskrivelse af Quadrature Domains and Their Applications

Quadrature domains were singled out about 30 years ago by D. Aharonov and H.S. Shapiro in connection with an extremal problem in function theory. Since then, a series of coincidental discoveries put this class of planar domains at the center of crossroads of several quite independent mathematical theories, e.g., potential theory, Riemann surfaces, inverse problems, holomorphic partial differential equations, fluid mechanics, operator theory. The volume is devoted to recent advances in the theory of quadrature domains, illustrating well the multi-facet aspects of their nature. The book contains a large collection of open problems pertaining to the general theme of quadrature domains.

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