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On the exponential transform of lemniscates
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).ORCID iD: 0000-0002-3125-3030
Linköpings Universitet.
2011 (English)In: Notions of Positivity and the Geometry of Polynomials / [ed] P. Bränden, M. Passare, M. Putinar, Basel: Springer, 2011, 239-257 p.Chapter in book (Refereed)
Abstract [en]

It is known that the exponential transform of a quadrature domain is a rational function for which the denominator has a certain separable form. In the present paper we show that the exponential transform of lemniscate domains in general are not rational functions, of any form. Several examples are given to illustrate the general picture. The main tool used is that of polynomial and meromorphic resultants.

Place, publisher, year, edition, pages
Basel: Springer, 2011. 239-257 p.
Series
Trends in Mathematics
National Category
Mathematics
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URN: urn:nbn:se:kth:diva-139038DOI: 10.1007/978-3-0348-0142-3_13ISBN: 978-3-0348-0141-6 (print)OAI: oai:DiVA.org:kth-139038DiVA: diva2:682655
Note

QC 20140113

Available from: 2013-12-29 Created: 2013-12-29 Last updated: 2014-04-11Bibliographically approved

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