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math.CV2018
The string equation for non-univalent functions
Björn Gustafsson
For conformal maps defined in the unit disk one can define a certain Poisson bracket that involves the harmonic moments of the image domain. When this bracket is applied to the con…
math.CV2017
Line bundles defined by the Schwarz function
Björn Gustafsson, Mihai Putinar
Cauchy and exponential transforms are characterized, and constructed, as canonical holomorphic sections of certain line bundles on the Riemann sphere defined in terms of the Schwar…
math.CV2012
Exponential transforms, resultants and moments
Björn Gustafsson
We give an overview of some recent developments concerning harmonic and other moments of plane domains, their relationship to the Cauchy and exponential transforms, and to the mero…