Cyclicity of polynomials on two variables

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• Daniel Seco (University of Warwick)
• Monday 24 November 2014, 16:00-17:00
• Physics West 106 (SR2).

If you have a question about this talk, please contact José Cañizo.

Let f be a function in H, a Hilbert space of analytic functions over a fixed domain. The function $f$ is called cyclic if the polynomials times $f$ form a dense subspace of H. A classical theorem by Brown and Shields classifies cyclicity when f is a polynomial in Dirichlet-type spaces over the unit disc. In this talk, we show the corresponding classifications of polynomials for Dirichlet-type spaces over the bidisc (and depending on time, also for weighted Hardy spaces over the unit disc).

This talk is part of the Analysis seminar series.

This talk is included in these lists:

• Analysis seminar
• Physics West 106 (SR2)
• School of Mathematics events

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