Exponential transforms, resultants and moments
2014 (English)In: Trends in mathematics, 287-323 p.Article, review/survey (Refereed) Published
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.
Cauchy transform, exponential transform, resultant, eliminatio n function, moment, quadrature domain, Laplacian growth, string e quation, Polubarinova-Galin equation
Research subject Mathematics
IdentifiersURN: urn:nbn:se:kth:diva-164020OAI: oai:DiVA.org:kth-164020DiVA: diva2:802796
QC 201504242015-04-132015-04-132015-04-24Bibliographically approved