Real complex functions
Stephan Ramon Garcia, Javad Mashreghi, William T. Ross
TL;DR
This paper surveys classes of analytic functions with real boundary values on the unit disk, exploring their properties, decompositions, and connections to operator theory.
Contribution
It provides a comprehensive overview of real boundary value functions, highlighting their properties and links to operator theory, which is a novel synthesis in this area.
Findings
Characterization of functions with real boundary values
Decomposition techniques for these functions
Connections to operator theory
Abstract
We survey a few classes of analytic functions on the disk that have real boundary values almost everywhere on the unit circle. We explore some of their properties, various decompositions, and some connections these functions make to operator theory.
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Taxonomy
TopicsHolomorphic and Operator Theory · Analytic and geometric function theory · Algebraic and Geometric Analysis