A sufficient condition for random zero sets of Fock spaces

Xiang Fang, Pham Trong Tien

研究成果: 雜誌貢獻期刊論文同行評審

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???
頁(從 - 到)291-304
頁數14
期刊Archiv der Mathematik
117
發行號3
DOIs
出版狀態已出版 - 9月 2021

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