Operator Theory: Advances and Applications

Quadrature Domains and Their Applications

The Harold S. Shapiro Anniversary Volume

Editors: Ebenfelt, P., Gustafsson, B., Khavinson, D., Putinar, M. (Eds.)

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About this book

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.

Table of contents (13 chapters)

  • What is a Quadrature Domain?

    Gustafsson, Björn (et al.)

    Pages 1-25

  • Recent Progress and Open Problems in the Bergman Space

    Aleman, Alexandru (et al.)

    Pages 27-59

  • The Bergman Kernel and Quadrature Domains in the Plane

    Bell, Steven R.

    Pages 61-78

  • The Cauchy Transform

    Cima, Joseph A. (et al.)

    Pages 79-111

  • Quadrature Domains and Fluid Dynamics

    Crowdy, Darren

    Pages 113-129

Buy this book

eBook $149.00
price for USA in USD (gross)
  • ISBN 978-3-7643-7316-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $189.00
price for USA in USD
  • ISBN 978-3-7643-7145-6
  • Free shipping for individuals worldwide
  • This title is currently reprinting. You can pre-order your copy now.
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Bibliographic Information

Bibliographic Information
Book Title
Quadrature Domains and Their Applications
Book Subtitle
The Harold S. Shapiro Anniversary Volume
Editors
  • Peter Ebenfelt
  • Bjorn Gustafsson
  • Dmitry Khavinson
  • Mihai Putinar
Series Title
Operator Theory: Advances and Applications
Series Volume
156
Copyright
2005
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Basel
eBook ISBN
978-3-7643-7316-0
DOI
10.1007/b137105
Hardcover ISBN
978-3-7643-7145-6
Series ISSN
0255-0156
Edition Number
1
Number of Pages
XXVIII, 278
Topics