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math.FA2017
Spectral sets for numerical range
Hubert Klaja, Javad Mashreghi, Thomas Ransford
We define and study a numerical-range analogue of the notion of spectral set. Among the results obtained are a positivity criterion and a dilation theorem, analogous to those alrea…
math.CV2017
Approximation in the closed unit ball
Javad Mashreghi, Thomas Ransford
In this expository article, we present a number of classic theorems that serve to identify the closure in the sup-norm of various sets of Blaschke products, inner functions and the…
math.DS2017
Cross-sections of multibrot sets
Line Baribeau, Thomas Ransford
We identify the intersection of the multibrot set of with the rays , where .