Invariant subspaces of the slit disk

  • Alexandru Aleman
  • William T. Ross
  • Nathan S. Feldman
Part of the Frontiers in Mathematics book series (FM)


In this section we use our main theorem about nearly invariant subspaces (Theorem 3.1.2) and the conformal map Open image in new window from (2.3.8) to give a full description of the invariant subspaces (under Sf=zf) of H2 (G). Let us get started with a few preliminary observations.


Analytic Continuation Invariant Subspace Harmonic Measure Common Zero Outer Function 
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Copyright information

© Birkhäuser Verlag AG 2009

Authors and Affiliations

  • Alexandru Aleman
    • 1
  • William T. Ross
    • 2
  • Nathan S. Feldman
    • 3
  1. 1.Centre for Mathematical SciencesLund UniversityLundSweden
  2. 2.Department of Mathematics and Computer ScienceUniversity of RichmondRichmondUSA
  3. 3.Department of MathematicsWashington & Lee UniversityLexingtonUSA

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