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  • Aleman, AlexandruLund University,Lunds universitet,Matematik (naturvetenskapliga fakulteten),Matematikcentrum,Institutioner vid LTH,Lunds Tekniska Högskola,Mathematics (Faculty of Sciences),Centre for Mathematical Sciences,Departments at LTH,Faculty of Engineering, LTH (author)

Invariant subspaces for the backward shift on Hilbert spaces of analytic functions with regular norm.

  • Article/chapterEnglish2006

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  • 2006

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  • LIBRIS-ID:oai:lup.lub.lu.se:99d92fb3-dffb-427f-9703-1da3574f499b
  • https://lup.lub.lu.se/record/791042URI

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  • Language:English
  • Summary in:English

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  • It is shown that under certain regularity conditions on the norm, the functions in a nontrivial invariant subspace of the backward shift operator have meromorphic pseudocontinuations in the Nevanlinna class of the exterior of the unit disk. In addition, we provide a regularity condition which implies that the subspace itself is contained in the Nevanlinna class of the disc.

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  • Richter, Stefan (author)
  • Sundberg, CarlLund University,Lunds universitet,Matematik (naturvetenskapliga fakulteten),Matematikcentrum,Institutioner vid LTH,Lunds Tekniska Högskola,Mathematics (Faculty of Sciences),Centre for Mathematical Sciences,Departments at LTH,Faculty of Engineering, LTH(Swepub:lu)math-csn (author)
  • Matematik (naturvetenskapliga fakulteten)Matematikcentrum (creator_code:org_t)

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  • In:Contemporary Mathematics404, s. 1-251098-3627

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