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On Null Quadrature Domains

On Null Quadrature Domains The characterization of null quadrature domains in R n, n ≥ 3, has been an open problem throughout the past two and a half decades. A substantial contribution was made by Friedman and Sakai [10]; they showed that if the complement is bounded, then null quadrature domains are exactly the complement of ellipsoids. The first result with unbounded complements appeared in [16], there it is assumed the complement is contained in an infinitely cylinder. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Computational Methods and Function Theory Springer Journals

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Publisher
Springer Journals
Copyright
Copyright © 2008 by Heldermann  Verlag
Subject
Mathematics; Analysis; Computational Mathematics and Numerical Analysis; Functions of a Complex Variable
ISSN
1617-9447
eISSN
2195-3724
DOI
10.1007/BF03321670
Publisher site
See Article on Publisher Site

Abstract

The characterization of null quadrature domains in R n, n ≥ 3, has been an open problem throughout the past two and a half decades. A substantial contribution was made by Friedman and Sakai [10]; they showed that if the complement is bounded, then null quadrature domains are exactly the complement of ellipsoids. The first result with unbounded complements appeared in [16], there it is assumed the complement is contained in an infinitely cylinder.

Journal

Computational Methods and Function TheorySpringer Journals

Published: Mar 27, 2007

References