TL;DR
This survey explores approximation theory in several complex variables, focusing on techniques and topics that connect classical approximation with complex analysis, aimed at readers familiar with basic concepts but new to multivariable theory.
Contribution
It provides an accessible overview of selected topics in approximation theory involving several complex variables, bridging classical results with advanced complex analysis techniques.
Findings
Summarizes key techniques in approximation theory using several complex variables
Highlights connections between classical approximation and complex analysis
Provides a comprehensive overview for newcomers to the field
Abstract
This is a survey article on selected topics in approximation theory. The topics either use techniques from the theory of several complex variables or arise in the study of the subject. The survey is aimed at readers having an acquaintance with standard results in classical approximation theory and complex analysis but no apriori knowledge of several complex variables is assumed.
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Taxonomy
TopicsMathematical functions and polynomials · Holomorphic and Operator Theory · Meromorphic and Entire Functions