University of Birmingham > Talks@bham > Analysis Seminar > Cyclicity of polynomials on two variables

Cyclicity of polynomials on two variables

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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.

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