Linear metric spaces and analytic sets
نویسندگان
چکیده
منابع مشابه
Zero Sets for Spaces of Analytic Functions
We show that under mild conditions, a Gaussian analytic function F that a.s. does not belong to a given weighted Bergman space or Bargmann–Fock space has the property that a.s. no non-zero function in that space vanishes where F does. This establishes a conjecture of Shapiro (1979) on Bergman spaces and allows us to resolve a question of Zhu (1993) on Bargmann–Fock spaces. We also give a simila...
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ژورنال
عنوان ژورنال: Proceedings of the Edinburgh Mathematical Society
سال: 1994
ISSN: 0013-0915,1464-3839
DOI: 10.1017/s001309150000612x