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In this series of lectures given during May of 2023 in Cortona, Italy, we cover the Hardy spaces and some of the natural linear transformations that act on these spaces such as the shift, Toeplitz, and Hankel operators. We will also cover some related sub-classes of these spaces, such as model spaces and de Branges–Rovnyak spaces, along with connections this makes to general operator theory on Hilbert spaces.

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Lectures on the Hardy Space

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  • 发表日期：

    2025年

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  • William T. Ross

摘要

In this series of lectures given during May of 2023 in Cortona, Italy, we cover the Hardy spaces and some of the natural linear transformations that act on these spaces such as the shift, Toeplitz, and Hankel operators. We will also cover some related sub-classes of these spaces, such as model spaces and de Branges–Rovnyak spaces, along with connections this makes to general operator theory on Hilbert spaces.