HAAR WAVELETS ON THE LEBESGUE SPACES OF LOCAL FIELDS OF POSITIVE CHARACTERISTIC

被引：6

作者：

Behera, Biswaranjan ^{[1
]}

机构：

[1] Indian Stat Inst, Stat & Math Unit, Kolkata 700108, India

来源：

COLLOQUIUM MATHEMATICUM | 2014年 / 136卷 / 02期

关键词：

wavelet; multiresolution analysis; local field; unconditional basis; democratic basis; greedy basis; BASES;

D O I：

10.4064/cm136-2-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct the Haar wavelets on a local field K of positive characteristic and show that the Haar wavelet system forms an unconditional basis for L-P(K), 1 < p < infinity. We also prove that this system, normalized in L-P(K), is a democratic basis of L-P(K). This also proves that the Haar system is a greedy basis of L-P(K) for 1 <p < infinity

引用

页码：149 / 168

页数：20

共 27 条

[1]

[Anonymous], BANACH CTR PUBL

[2]

Behera B., 2013, PREPRINT

[3]

Behera B., 2013, COMMUN MATH ANAL, V15, P52

[4]

Behera B., COLLECT MAT IN PRESS

[5] Multiresolution analysis on local fields and characterization of scaling functions [J].

Behera, Biswaranjan ;

Jahan, Qaiser .

ADVANCES IN PURE AND APPLIED MATHEMATICS, 2012, 3 (02) :181-202

[6] Wavelet packets and wavelet frame packets on local fields of positive characteristic [J].

Behera, Biswaranjan ;

Jahan, Qaiser .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 395 (01) :1-14

[7] A wavelet theory for local fields and related groups [J].

Benedetto, JJ ;

Benedetto, RL .

JOURNAL OF GEOMETRIC ANALYSIS, 2004, 14 (03) :423-456

[8] Wavelet bases in the Lebesgue spaces on the field of p-adic numbers [J].

Chuong N.M. ;

Duong D.V. .

P-Adic Numbers, Ultrametric Analysis, and Applications, 2013, 5 (2) :106-121

[9]

Dahlke S., 1994, Wavelets, Images and Surface Fitting., P141

[10] WAVELET BASES IN L(P)(R) [J].

GRIPENBERG, G .

STUDIA MATHEMATICA, 1993, 106 (02) :175-187

← 1 2 3 →