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math.CV2021
Ruminations on Hejhal's theorem about the Bergman and Szego kernels
Steven R. Bell, Bjorn Gustafsson
We give a new proof of Dennis Hejhal's theorem on the nondegeneracy of the matrix that appears in the identity relating the Bergman and Szego kernels of a smoothly bounded finitely…
math.CV2014★ 3 cited
Non-univalent solutions of the Polubarinova-Galin equation
Björn Gustafsson, Yu-Lin Lin
We study non-univalent solutions of the Polubarinova-Galin equation, describing the time evolution of the conformal map from the unit disk onto a Hele-Shaw blob of fluid subject to…