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

@article{bd77b624fcf04c18a54f55d2bc786c69,

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",

year = "2011",

month = oct,

day = "31",

language = "English",

volume = "3",

pages = "117--133",

journal = "Jaen Journal on Approximation",

issn = "1889-3066",

publisher = "Universidad de Jaen",

number = "1",

}

TY - JOUR

T1 - Unconditional convergence of wavelet expansion on the Cantor dyadic group

AU - Farkov, Yuri

AU - Goginava, Ushangi

AU - Kopaliani, Tengiz

PY - 2011/10/31

Y1 - 2011/10/31

N2 - 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.

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

UR - https://www.scopus.com/pages/publications/81855228715

UR - https://www.scopus.com/pages/publications/81855228715#tab=citedBy

M3 - Article

AN - SCOPUS:81855228715

SN - 1889-3066

VL - 3

SP - 117

EP - 133

JO - Jaen Journal on Approximation

JF - Jaen Journal on Approximation

IS - 1

ER -

Unconditional convergence of wavelet expansion on the Cantor dyadic group

Abstract

Keywords

ASJC Scopus subject areas

Other files and links

Fingerprint

Cite this