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Algebrable sets of hypercyclic vectors for convolution operators
Published 27 Jun 2017 in math.FA | (1706.08651v3)
Abstract: We show that several convolution operators on the space of entire functions, such as the MacLane operator, support a dense hypercyclic algebra that is not finitely generated. Birkhoff's operator also has this property on the space of complex-valued smooth functions on the real line.
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