Wavelet frames on Vilenkin groups and their approximation properties

Autor:	Farkov, Yuri A., Lebedeva, Elena A., Skopina, Maria A.
Rok vydání:	2014
Předmět:	Mathematics - Classical Analysis and ODEs Mathematics - Group Theory 22B99 42C40
Druh dokumentu:	Working Paper
Popis:	An explicit description of all Walsh polynomials generating tight wavelet frames is given. An algorithm for finding the corresponding wavelet functions is suggested, and a general form for all wavelet frames generated by an appropriate Walsh polynomial is described. Approximation properties of tight wavelet frames are also studied. In contrast to the real setting, it appeared that a wavelet tight frame decomposition has an arbitrary large approximation order whenever all wavelet functions are compactly supported. Comment: 19 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1412.2699 Zobrazit plný text záznamu View this record from Arxiv