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math.CV2022
The values of a family of Cauchy transforms
Kevin F. Clancey
The family of Cauchy transforms \[C_{g}(z,w) = -\frac{1}π\int_{\mathbb{C} } \frac{g(u)}{\overline{u-w} (u-z) } da(u ),\] where the measurable function with compact (essential)…
math.CV2015
Meromorphic Matrix Trivializations of Factors of Automorphy over a Riemann Surface
Joseph A. Ball, Kevin F. Clancey, Victor Vinnikov
It is a consequence of the Jacobi Inversion Theorem that a line bundle over a Riemann surface M of genus g has a meromorphic section having at most g poles, or equivalently, the di…