Abstract
In this paper, a unicity theorem for Borel series is obtained and used to show that the collection of cyclic operators acting on the space of entire functions with non-dense eigenvalues and having the monomials $z^n$ as eigenvectors has a dense set of common cyclic vectors.
Citation
Steven M. Seubert. "Common cyclic vectors for diagonal operators on the space of entire functions." Rocky Mountain J. Math. 44 (1) 269 - 288, 2014. https://doi.org/10.1216/RMJ-2014-44-1-269
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