Conditions of Cm.-approximability of functions by polynomial solutions of homogeneous elliptic equations of order n on plane compact sets are studied. For positive integers m and n such that m ≥ n - 1, new necessary and sufficient approximability conditions of a topological and metrical nature are obtained.

Original languageEnglish
Pages (from-to)677-689
Number of pages13
JournalSt. Petersburg Mathematical Journal
Volume24
Issue number4
DOIs
StatePublished - 2013
Externally publishedYes

    Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Applied Mathematics

    Research areas

  • C-approximation, Homogeneous elliptic operator, L-analytic function, L-analytic polynomial, Localization operator

ID: 86669546