Chrestenson-Levy system and step scaling functions


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Authors

  • Yu. A. Farkov Russian Presidential Academy of National Economy and Public Administration (RANEPA)

Keywords:

Walsh functions, orthogonal wavelets, step scaling functions, multiresolution analysis, Parseval frames, Vilenkin groups, Chrestenson-Levy system

Abstract

Using the Chrestenson-Levy system and the modified Cohen condition, step scaling functions are constructed
that generate multiresolution analyzes in L2
(R+) . Analogies with orthogonal wavelet constructions and Parseval frames
for Vilenkin groups are discussed.

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Published

2020-03-30

How to Cite

Ю.А. Фарков. (2020). Chrestenson-Levy system and step scaling functions. BULLETIN OF THE L.N. GUMILYOV EURASIAN NATIONAL UNIVERSITY. Mathematics. Computer Science. Mechanics Series, 130(1), 59–72. Retrieved from https://bulmathmc.enu.kz/index.php/main/article/view/66

Issue

Vol. 130 No. 1 (2020)

Section

Статьи