Change search
ReferencesLink to record
Permanent link

Direct link
Szegö coordinates, quadrature domains, and double quadrature domains
(Mathematics, Purdue University)
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).ORCID iD: 0000-0002-3125-3030
(Mathematics, University of California in Berkeley)
2011 (English)In: Computational methods in Function Theory, ISSN 1617-9447, Vol. 11, no 1, 25-44 p.Article in journal (Refereed) Published
Abstract [en]

We define Szegö coordinates on a finitely connected smoothly bounded planar domain which effect a holomorphic change of coordinates on the domain that can be as close to the identity as desired and which convert the domain to a quadrature domain with respect to boundary arc length. When these Szegö coordinates coincide with Bergman coordinates, the result is a double quadrature domain with respect to both area and arc length. We enumerate a host of interesting and useful properties that such double quadrature domains possess, and we show that such domains are in fact dense in the realm of bounded C-smooth finitely connected domains.

Place, publisher, year, edition, pages
Heldermann Verlag , 2011. Vol. 11, no 1, 25-44 p.
Keyword [en]
Bergman kernel, Poisson kernel, conformal mapping
National Category
Natural Sciences
URN: urn:nbn:se:kth:diva-78758DOI: 10.1007/BF03321788ISI: 000311138000003ScopusID: 2-s2.0-84863203792OAI: diva2:492880

QC 20120216

Available from: 2012-02-08 Created: 2012-02-08 Last updated: 2014-01-14Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full textScopusComputational methods in Function Theory

Search in DiVA

By author/editor
Gustafsson, Björn
By organisation
Mathematics (Div.)
In the same journal
Computational methods in Function Theory
Natural Sciences

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 28 hits
ReferencesLink to record
Permanent link

Direct link