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The study of model spaces, the closed invariant subspaces of the backward shift operator, is a vast area of research with connections to complex analysis, operator theory and functional analysis. This self-contained text is the ideal introduction for newcomers to the field. It sets out the basic ideas and quickly takes the reader through the history of the subject before ending up at the frontier of mathematical analysis. Open questions point to potential areas of future research, offering plenty of inspiration to graduate students wishing to advance further.
Cambridge University Press
hardy spaces, operator theory, closed invariant subspaces
School of Arts and Sciences
Math and Computer Science
Computer Sciences | Mathematics
Garcia, Stephan Ramon, Javad Mashreghi, and William T. Ross. Introduction to Model Spaces and their Operators. Cambridge: Cambridge University Press. 2016.