Wavelet frames related to Walsh functions

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Abstract

We describe three types of compactly supported wavelet frames associated with Walsh functions: (1) MRA-based tight frames, (2) frames obtained from the Daubechies-type “admissible condition”, and (3) frames based on the Walsh–Parseval type kernels. Parametric wavelet sets for Vilenkin groups and some related results are also discussed.

Keywords

Wavelets Frames Walsh functions Vilenkin groups 
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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Applied Information TechnologyRussian Presidential Academy of National Economy and Public Administration (RANEPA)MoscowRussia

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