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Published May 11, 2016 | Version Submitted
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Topology of quadrature domains

Creators

Abstract

We address the problem of topology of quadrature domains, namely we give upper bounds on the connectivity of the domain in terms of the number of nodes and their multiplicities in the quadrature identity.

Additional Information

© 2015 American Mathematical Society. Received by editor(s): July 15, 2013; Received by editor(s) in revised form: November 13, 2014; Published electronically: May 11, 2015. The first author was supported by Sherman Fairchild Senior Research Fellowship. The second author was supported by NSF grant no. 1101735. The authors would like to thank Dmitry Khavinson, Curtis McMullen, and Paul Wiegmann for their interest and useful discussions.

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Submitted - 1307.0487v2.pdf

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Additional details

Identifiers

Eprint ID
66520
DOI
10.1090/jams828
Resolver ID
CaltechAUTHORS:20160428-075058722

Related works

Describes
10.1090/jams828 (DOI)
http://arxiv.org/abs/1307.0487 (URL)

Funding

Sherman Fairchild Foundation
NSF
1101735

Dates

Created
2016-05-02
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Updated
2021-11-10
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