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Full-Text Articles in Other Mathematics
Real Complex Functions, Stephan Ramon Garcia, Javad Mashreghi, William T. Ross
Real Complex Functions, Stephan Ramon Garcia, Javad Mashreghi, William T. Ross
Department of Math & Statistics Faculty Publications
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.
A Survey On Reverse Carleson Measures, Emmanuel Fricain, Andreas Hartmann, William T. Ross
A Survey On Reverse Carleson Measures, Emmanuel Fricain, Andreas Hartmann, William T. Ross
Department of Math & Statistics Faculty Publications
This is a survey on reverse Carleson measures for various Hilbert spaces of analytic functions. These spaces include the Hardy, Bergman, certain harmonically weighted Dirichlet, Paley-Wiener, Fock, model (backward shift invariant), and de Branges-Rovnyak spaces. The reverse Carleson measure for backward shift invariant subspaces in the non-Hilbert situation is new.