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- W57389619 abstract "Abstract We show that a weighted Bergman space on the polydisc splits up into the orthogonal direct sum of subspaces, each corresponding to an irreducible representation of the symmetric group. The multiplication by the n-tuple of elementary symmetric functions is a Γ n -contraction on each of these subspaces. A necessary condition for a commuting n-tuple to be a Γ n -contraction is obtained in terms of pencil of operators. We provide a model theory for Γ n -isometries. A Beurling–Lax–Halmos type representation for the invariant subspaces of Γ n -isometries is given." @default.
- W57389619 created "2016-06-24" @default.
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- W57389619 date "2014-05-01" @default.
- W57389619 modified "2023-10-17" @default.
- W57389619 title "Functional models of <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif overflow=scroll><mml:msub><mml:mrow><mml:mi>Γ</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msub></mml:math>-contractions and characterization of <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif overflow=scroll><mml:msub><mml:mrow><mml:mi>Γ</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msub></mml:math>-isometries" @default.
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- W57389619 doi "https://doi.org/10.1016/j.jfa.2014.02.034" @default.
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