Residual Cauchy-type formula on Riemann surfaces
Peter L. Polyakov
TL;DR
This paper develops a new Cauchy-type integral formula tailored for open subdomains of Riemann surfaces, expanding tools for complex analysis in these geometric contexts.
Contribution
The paper introduces a residual Cauchy-type formula specifically designed for open subdomains of Riemann surfaces, providing a novel analytical tool.
Findings
New Cauchy-type formula for Riemann surfaces
Extension of complex analysis techniques to subdomains
Potential applications in Riemann surface theory
Abstract
We construct a Cauchy type formula on open subdomains of Riemann surfaces
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