Sous-espaces biinvariants pour certains shifts pondérés. (Biinvariant subspaces for some weighted spaces) (Q1272267)

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scientific article; zbMATH DE number 1227222
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English
Sous-espaces biinvariants pour certains shifts pondérés. (Biinvariant subspaces for some weighted spaces)
scientific article; zbMATH DE number 1227222

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    Sous-espaces biinvariants pour certains shifts pondérés. (Biinvariant subspaces for some weighted spaces) (English)
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    29 November 1998
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    The biinvariant subspaces for the weigthed shifts \(f(e^{it}) \to e^{it}f(e^{it})\) are studied, over an appropriate weigthed Hilbert space related to the unit circle. In particular, the effect the weight asymmetry produces to such subspaces (generated by singular interior functions) is analyzed.
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    biinvariant subspace
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    hyperfunction
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    Carleson set
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    weighted shifts
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    weight asymmetry
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