Search for homogeneous polynomial invariants and a cubic-homogeneous mapping without quadratic invariants.

dos Santos Freire, Ricardo jun.; Gorni, Gianluca; Zampieri, Gaetano

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Homogeneous polynomial invariants for cubic-homogeneous functions.

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Wold decomposition of the Hardy space and Blaschke products similar to a contraction

M. Stessin (1999)

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The classical Wold decomposition theorem applied to the multiplication by an inner function leads to a special decomposition of the Hardy space. In this paper we obtain norm estimates for componentwise projections associated with this decomposition. An application to operators similar to a contraction is given.