Email this article On Biorthogonal p-Adic Wavelet Bases
- Authors: King E.J.1, Skopina M.A.2
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Affiliations:
- University of Bremen
- St. Petersburg State University
- Issue: Vol 234, No 2 (2018)
- Pages: 158-169
- Section: Article
- URL: https://bakhtiniada.ru/1072-3374/article/view/241793
- DOI: https://doi.org/10.1007/s10958-018-3992-9
- ID: 241793
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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.
About the authors
E. J. King
University of Bremen
Author for correspondence.
Email: king@math.uni-bremen.de
Germany, Bremen
M. A. Skopina
St. Petersburg State University
Email: king@math.uni-bremen.de
Russian Federation, St. Petersburg
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