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Inner functions andlp-multipliers

✍ Scribed by V. V. Lebedev


Publisher
Springer US
Year
1998
Tongue
English
Weight
635 KB
Volume
32
Category
Article
ISSN
0016-2663

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## Abstract We show that operator‐valued Bergman inner functions have the so‐called expansive multiplier property generalizing a well‐known result of Hedenmalm in the scalar case. This analysis leads to norm bounds for input output maps for a related class of discrete time linear systems. The proof

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Let S be the atomic inner function. We determine all analytic maps of the unit disk commuting with S. Finally we study the value distribution of the nth iterate of S.