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.
Copyright © 2016 American Mathematical Society.
The definitive version is available at: http://www.ams.org/books/conm/679/
Garcia, Stephan Ramon, Javad Mashreghi, and William T. Ross. "Real complex functions." Contemporary Mathematics 679 (2016): 91-128.
Garcia, Stephan Ramon; Mashreghi, Javad; and Ross, William T., "Real complex functions" (2016). Department of Math & Statistics Faculty Publications. 171.