Zero and uniqueness sets for Fock spaces. Issue 2 (25th June 2023)

• Record Type: Journal Article
• Authors: Aadi, D.; Omari, Y.
• Is Part Of: Canadian mathematical bulletin =. Volume 66:Issue 2(2023)
• Page Start: 532
• Page End: 543
• Publication Date: 2023-06-25
• Subjects: 30H20 -- 30D20 -- 30C15 -- 46E22; Fock spaces -- entire functions -- zero sets -- uniqueness sets; Mathematics -- Periodicals; Mathematics; Periodicals; 510.5
• DOI: 10.4153/S0008439522000492
• Languages: English
• ISSNs: 0008-4395

Abstract

Abstract: We characterize zero sets for which every subset remains a zero set too in the Fock space $\mathcal {F}^p$, $1\leq p<\infty $ . We are also interested in the study of a stability problem for some examples of uniqueness set with zero excess in Fock spaces.