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- Title
A sufficient condition for random zero sets of Fock spaces.
- Authors
Fang, Xiang; Tien, Pham Trong
- Abstract
Let (r n) n = 1 ∞ be a non-decreasing sequence of radii in (0 , ∞) , and let (θ n) 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 (r n) n = 1 ∞ under which (r n e i θ n ) 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.
- Publication
Archiv der Mathematik, 2021, Vol 117, Issue 3, p291
- ISSN
0003-889X
- Publication type
Article
- DOI
10.1007/s00013-021-01617-w