TY - JOUR

T1 - Random zero sets for Fock type spaces

AU - Kononova, Anna

N1 - Kononova, A. Random zero sets for Fock type spaces. Anal.Math.Phys. 13, 9 (2023). https://doi.org/10.1007/s13324-022-00770-x

PY - 2023

Y1 - 2023

N2 - Given a nondecreasing sequence Λ={λn>0} such that limn→∞λn=∞, we consider the sequence NΛ:={λneiθn,n∈N}, where θn are independent random variables uniformly distributed on [0,2π]. We discuss the conditions on the sequence Λ under which NΛ is a zero set (a uniqness set) of a given weighted Fock space almost surely. The critical density of the sequence Λ with respect to the weight is found.

AB - Given a nondecreasing sequence Λ={λn>0} such that limn→∞λn=∞, we consider the sequence NΛ:={λneiθn,n∈N}, where θn are independent random variables uniformly distributed on [0,2π]. We discuss the conditions on the sequence Λ under which NΛ is a zero set (a uniqness set) of a given weighted Fock space almost surely. The critical density of the sequence Λ with respect to the weight is found.

KW - Entire function

KW - Fock spaces

KW - Zero sets

KW - Random rotations

UR - https://link.springer.com/article/10.1007/s13324-022-00770-x#citeas

M3 - Article

JO - Analysis and Mathematical Physics

JF - Analysis and Mathematical Physics

SN - 1664-2368

IS - 13

M1 - 9

ER -