# A sufficient condition for random zero sets of Fock spaces

Xiang Fang, Pham Trong Tien

2 引文 斯高帕斯（Scopus）

## 摘要

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.

原文 ???core.languages.en_GB??? 291-304 14 Archiv der Mathematik 117 3 https://doi.org/10.1007/s00013-021-01617-w 已出版 - 9月 2021

## 指紋

• ### 隨機算子理論中的若干問題(2/4)

Fang, X.

1/08/2031/07/21

研究計畫: Research

• ### 隨機加權位移(2/2)

Fang, X.

1/08/1831/07/19

研究計畫: Research