Approximation theorems for Pascali systems
Barbara Drinovec Drnov\v{s}ek, Uro\v{s} Kuzman
TL;DR
This paper extends classical approximation theorems to solutions of Pascali systems using generalized analytic vectors, broadening the scope of approximation theory in complex analysis.
Contribution
It introduces Mergelyan-type and Carleman-type approximation theorems specifically for Pascali systems, based on Goldschmidt's generalized Runge theorem.
Findings
Established approximation theorems for Pascali systems
Extended classical complex approximation results to generalized systems
Provided new tools for analyzing solutions of Pascali systems
Abstract
Based on Runge theorem for generalized analytic vectors proved by Goldschmidt in 1979 we provide a Mergelyan-type and a Carleman-type approximation theorems for solutions of Pascali systems.
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