On Biorthogonal p-Adic Wavelet Bases

E. J. King, M. A. Skopina

Research output

Abstract

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
DOIs
Publication statusPublished - 1 Oct 2018

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Wavelet Bases
P-adic
Multiresolution
Biorthogonal Wavelets
Scaling Function
Test function

Scopus subject areas

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

Cite this

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On Biorthogonal p-Adic Wavelet Bases. / King, E. J.; Skopina, M. A.

In: Journal of Mathematical Sciences (United States), Vol. 234, No. 2, 01.10.2018, p. 158-169.

Research output

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