Injectivity in higher order complex domains
Naveen Gupta
TL;DR
This paper surveys the Jacobian problem for pluriharmonic functions in higher order complex domains, providing an overview of injectivity issues and related mathematical properties.
Contribution
It offers a comprehensive exposition of the Jacobian problem specifically for pluriharmonic functions in complex analysis.
Findings
Summarizes key results on injectivity in pluriharmonic functions
Highlights open problems and research directions in higher order complex domains
Provides foundational knowledge for future studies in complex analysis
Abstract
This is an expository survey of the Jacobian problem for the class of Pluriharmonic functions.
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Taxonomy
TopicsAdvanced Differential Equations and Dynamical Systems · Holomorphic and Operator Theory · Analytic and geometric function theory