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Invariant subspaces generated by a single function in the polydisc

Published 7 Mar 2016 in math.CV | (1603.01988v2)

Abstract: In this study, we partially answer the question left open in Rudin's book "Function theory in polydiscs" on the structure of invariant subspaces of the Hardy space $H2(Un)$ on the polydisc $Un$. We completely describe all invariant subspaces generated by a single function in the polydisc. Then, using our results, we give the unitary equivalence of this type of invariant subspace and a characterization of outer functions in $H2(Un)$.

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Authors (2)

  1. Beyaz Basak Koca 
  2. Nazim Sadik 

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