Parametric sets for frames in Walsh analysis


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Authors

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

Keywords:

Walsh functions, orthogonal wavelets, multiresolution analysis, Parseval frames, Vilenkin groups, VilenkinChrestenson transform, Weierstrass distribution

Abstract

Parametric frame sets in the Walsh analysis are introduced and the corresponding algorithms for constructing
the Parseval frames are indicated. Relationships with constructions of orthogonal wavelets on Vilenkin groups and in spaces of
periodic sequences of complex numbers are noted.

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Published

2018-09-30

How to Cite

Farkov Ю. . (2018). Parametric sets for frames in Walsh analysis. Bulletin of L.N. Gumilyov Eurasian National University. Mathematics, Computer Science, Mechanics Series, 124(3), 89–94. Retrieved from https://bulmathmc.enu.kz/index.php/main/article/view/29

Issue

Vol. 124 No. 3 (2018)

Section

Статьи