On the Translates of Powers of a Continuous Periodic Function

R. A. Kerman, Yitzhak Weit

Research output: Contribution to journalArticlepeer-review


We characterize the set of real-valued, 2π-periodic, continuous functions f for which the translation invariant subspace V (f) generated by fn, n ≥ 0, is dense in C (T). In particular, it follows that if f takes a given value at only one point then V (f) is dense in C (T).

Original languageEnglish
Pages (from-to)786-790
Number of pages5
JournalJournal of Fourier Analysis and Applications
Issue number5
StatePublished - 2010


  • Mean-periodic
  • Translation invariant

ASJC Scopus subject areas

  • Analysis
  • General Mathematics
  • Applied Mathematics


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