Solution of a Loewner Chain Equation in Several Complex Variables

Details Solution of a Loewner Chain Equation in Several Complex Variables Solution of a Loewner Chain Equation in Several Complex Variables

2010-06-16

arxiv.org/abs/1006.3286v1

J. Math. Anal. Appl., 375(1):58-74, 2011

Mathematics

Complex Variables

Scientific paper

10.1016/j.jmaa.2010.08.057

We find a solution to the Loewner chain equation in the case when the
infinitesimal generator satisfies h(0,t)=0, Dh(0,t)=A for any linear operator
with m(A)>0. We also study the related classes of spirallike mappings, mappings
with parametric representation and asymptotically spirallike mappings.

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