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Exponential transforms, resultants and moments
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
2014 (English)In: Trends in mathematics, 287-323 p.Article, review/survey (Refereed) Published
Abstract [en]

We give an overview of some recent developments concerning har-monic and other moments of plane domains, their relationship to theCauchy and exponential transforms, and to the meromorphic resultantand elimination function. The paper also connects to certain topics inmathematical physics, for example domain deformations generated byharmonic gradients (Laplacian growth) and related integrable struc-tures.

Place, publisher, year, edition, pages
Basel: Birkhäuser Verlag, 2014. 287-323 p.
Keyword [en]
Cauchy transform, exponential transform, resultant, eliminatio n function, moment, quadrature domain, Laplacian growth, string e quation, Polubarinova-Galin equation
National Category
Research subject
URN: urn:nbn:se:kth:diva-164020OAI: diva2:802796

QC 20150424

Available from: 2015-04-13 Created: 2015-04-13 Last updated: 2015-04-24Bibliographically approved

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