Dual p-adic multiresolution analyses (MRAs) generated by scaling test functions are studied. It is proved that if two MRAs are dual, then each of them is the Haar MRA. A characterization of all biorthogonal wavelet systems associated with the Haar MRA is given for the case p = 2.

Original languageEnglish
Pages (from-to)158-169
Number of pages12
JournalJournal of Mathematical Sciences (United States)
Volume234
Issue number2
Early online date21 Aug 2018
DOIs
StatePublished - Oct 2018

    Scopus subject areas

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

ID: 36025490