We prove that translates of the characteristic function of a ball span the space Lp (ℝd) provided that 0 < p < 1 and d ≥ 2. Similar approximation problems are considered for some other functions. Bibliography: 5 titles.

Original languageEnglish
Pages (from-to)431-434
Number of pages4
JournalJournal of Mathematical Sciences
Volume165
Issue number4
DOIs
StatePublished - Feb 2010
Externally publishedYes

    Scopus subject areas

  • Statistics and Probability
  • Mathematics(all)
  • Applied Mathematics

ID: 87311462