Unconditional convergence of wavelet expansion on the Cantor dyadic group

Yuri Farkov; Ushangi Goginava; Tengiz Kopaliani

Unconditional convergence of wavelet expansion on the Cantor dyadic group

Yuri Farkov, Ushangi Goginava, Tengiz Kopaliani

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper we prove that wavelet expansions on the Cantor dyadic group G converge unconditionally in the dyadic Hardy space HM₁ (G). We will do it for wavelets satisfying the regularity condition of Hölder-Lipshitz type.

Original language	English
Pages (from-to)	117-133
Number of pages	17
Journal	Jaen Journal on Approximation
Volume	3
Issue number	1
Publication status	Published - Oct 31 2011
Externally published	Yes

Keywords

Cantor dyadic group
Unconditional convergence
Wavelet expansion

ASJC Scopus subject areas

Analysis
Numerical Analysis

Cite this

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title = "Unconditional convergence of wavelet expansion on the Cantor dyadic group",

abstract = "In this paper we prove that wavelet expansions on the Cantor dyadic group G converge unconditionally in the dyadic Hardy space HM1 (G). We will do it for wavelets satisfying the regularity condition of H{\"o}lder-Lipshitz type.",

keywords = "Cantor dyadic group, Unconditional convergence, Wavelet expansion",

author = "Yuri Farkov and Ushangi Goginava and Tengiz Kopaliani",

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AU - Goginava, Ushangi

AU - Kopaliani, Tengiz

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AB - In this paper we prove that wavelet expansions on the Cantor dyadic group G converge unconditionally in the dyadic Hardy space HM1 (G). We will do it for wavelets satisfying the regularity condition of Hölder-Lipshitz type.

KW - Cantor dyadic group

KW - Unconditional convergence

KW - Wavelet expansion

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Unconditional convergence of wavelet expansion on the Cantor dyadic group

Abstract

Keywords

ASJC Scopus subject areas

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