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arXiv · 1804.05278

A Dirichlet problem in noncommutative potential theory

Kuang-Ru Wu
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Abstract

We prove the solvability of a Dirichlet problem for flat hermitian metrics on Hilbert bundles over compact Riemann surfaces with boundary. We also prove a factorization result for flat hermitian metrics on doubly connected domains.

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Kuang-Ru Wu. 2018-04-14. A Dirichlet problem in noncommutative potential theory. https://arxiv.org/abs/1804.05278

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