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arXiv · 1301.2622

Non cyclic functions in the Hardy space of the bidisc with arbitrary decrease

Xavier Massaneda·Pascal J. Thomas
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Abstract

We construct an example to show that no condition of slow decrease of the modulus of a function is sufficient to make it cyclic in the Hardy space of the bidisc. This is similar to what is well known in the case of the Hardy space of the disc, but in contrast to the case of the Bergman space of the disc.

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Xavier Massaneda, Pascal J. Thomas. 2013-01-11. Non cyclic functions in the Hardy space of the bidisc with arbitrary decrease. https://arxiv.org/abs/1301.2622

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