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Статья
2017

On zeros of functions rapidly growing in generalized Bergman spaces


E. A. Sevast’yanovE. A. Sevast’yanov
Русская математика
https://doi.org/10.3103/S1066369X17110068
Abstract / Full Text

The zero-sets of rapidly growing functions which belong to the Bergman spaces and more general spaces of analytic functions with mixed norms have no clear-cut description. A range of exact necessary conditions on the moduli of zeros of such functions presented in the paper show the impossibility to obtain such a description in more or less clear geometrical terms.

Author information
  • National Research Nuclear University (MIFI), Kashirskoe sh. 31, Moscow, 115409, RussiaE. A. Sevast’yanov
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