## Quadrature Domains and Their Applications: The Harold S. Shapiro Anniversary VolumePeter Ebenfelt, Bjorn Gustafsson, Dmitry Khavinson, Mihai Putinar 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. |

### What people are saying - Write a review

What does the link HA.0rM stand for in this document's mailing address? Interesting read, though. About half through.

### Contents

B Gustafsson and H S Shapiro | 1 |

A Aleman H Hedenmalm and S Richter | 27 |

S R Bell | 60 |

J A Cima A Matheson and W T Ross | 79 |

Crowdy | 113 |

P Duren A Schuster and D Vukotic | 130 |

P Ebenfelt D Khavinson and H S Shapiro | 151 |

B Gustafsson and M Putinar | 173 |

Sakai | 194 |

Conformal Mappings 217 | 216 |

T Sjödin | 239 |

G Tkachev | 256 |

### Other editions - View all

Quadrature Domains and Their Applications: The Harold S. Shapiro Anniversary ... Harold S. Shapiro,Peter Ebenfelt No preview available - 2005 |

Quadrature Domains and Their Applications: The Harold S. Shapiro Anniversary ... Harold S. Shapiro,Peter Ebenfelt No preview available - 2005 |