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## Abstract

Let (rn)n=1∞ be a non-decreasing sequence of radii in (0 , ∞) , and let (θn)n=1∞ be a sequence of independent random arguments uniformly distributed in [0 , 2 π). In this paper, we establish a new sufficient condition on the sequence (rn)n=1∞ under which (rneiθn)n=1∞ is almost surely a zero set for Fock spaces. The condition is in terms of the sum of two characteristics involving the counting function. The sharpness of this condition is discussed and examples are presented to illustrate it.

Original language | English |
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Pages (from-to) | 291-304 |

Number of pages | 14 |

Journal | Archiv der Mathematik |

Volume | 117 |

Issue number | 3 |

DOIs | |

State | Published - Sep 2021 |

## Keywords

- Fock spaces
- Random zero sets
- Zero sets

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Dive into the research topics of 'A sufficient condition for random zero sets of Fock spaces'. Together they form a unique fingerprint.## Projects

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