WAVELET PACKETS IN WEIGHTED SOBOLEV SPACE

被引：0

作者：

Kumar, Raj ^{[1
]}

Chauhan, Manish ^{[2
]}

机构：

[1] Univ Delhi, Dept Math, Kirori Mal Coll, Delhi 110007, India

[2] Univ Delhi, Dept Math, Delhi 110007, India

来源：

TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS | 2020年 / 10卷 / 01期

关键词：

Wavelets; wavelet packets; multiresolution analysis; weighted Sobolev space; COMPACTLY SUPPORTED WAVELETS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We perform some splitting tricks over wavelets to construct basic wavelet packets in weighted Sobolev space. MRA based wavelet packet functions and their orthogonality at different levels in weighted Sobolev space are presented. Some examples of wavelet packets in weighted Sobolev space are given.

引用

页码：138 / 149

页数：12

共 20 条

[1] Compactly supported wavelets in Sobolev spaces of integer order [J].

Bastin, F ;

Laubin, P .

APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 1997, 4 (01) :51-57

[2] Biorthogonal wavelets in Hm(R) [J].

Bastin, F ;

Boigelot, C .

JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 1998, 4 (06) :749-768

[3] Regular compactly supported wavelets in Sobolev spaces [J].

Bastin, F ;

Laubin, P .

DUKE MATHEMATICAL JOURNAL, 1997, 87 (03) :481-508

[4]

Buzykanov S. N., 2012, 2012 International Conference on Systems, Signals and Image Processing (IWSSIP), P536

[5] On the splitting trick and wavelet frame packets [J].

Chen, DR .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2000, 31 (04) :726-739

[6] NONORTHOGONAL WAVELET PACKETS [J].

CHUI, CK ;

LI, C .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1993, 24 (03) :712-738

[7] ON THE INSTABILITY OF ARBITRARY BIORTHOGONAL WAVELET PACKETS [J].

COHEN, A ;

DAUBECHIES, I .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1993, 24 (05) :1340-1354

[8]

Coifman R., 1989, P C WAV

[9]

Coifman R.R., 2005, PREPRINT

[10]

Ehler M., 2010, Jaen J. Approx., V2, P193

← 1 2 →