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arXiv · 1107.1809

The Lee-Yang and P\'olya-Schur programs. III. Zero-preservers on Bargmann-Fock spaces

Petter Brändén
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Abstract

We characterize linear operators preserving zero-restrictions on entire functions in weighted Bargmann-Fock spaces. The characterization extends previous results of J. Borcea and the author to the realm of entire functions, and translates into an optimal, albeit formal, Lee-Yang theorem.

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Petter Brändén. 2011-07-09. The Lee-Yang and P\'olya-Schur programs. III. Zero-preservers on Bargmann-Fock spaces. https://arxiv.org/abs/1107.1809

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