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Factorisation of conformal maps on finitely connected domains
Factorisation of conformal maps finitely connected domains Complex Variables
2011/8/24
Abstract: Let $U$ be a multiply connected domain of the Riemann sphere $\hat{C}$ whose complement $\hat{C}\setminus U$ has $N<\infty$ components. We show that every conformal map on $U$ can be written...
A Blaschke-type condition for analytic functions on finitely connected domains. Applications to complex perturbations of a finite-band selfadjoint operator
Blaschke-type estimates Lieb Thirring type inequalities finite-band selfadjoint operators complex compact perturbation
2011/7/27
Abstract: This is a sequel of a recent article by Borichev-Golinskii-Kupin, where the authors obtain Blaschke-type conditions for special classes of analytic functions in the unit disk which satisfy c...
