Sobolev exponent estimate and asymptotic regularity of the M-band Daubechies' scaling functions

被引：9

作者：

Sun, QY ^{[1
]}

机构：

[1] Zhejiang Univ, Ctr Math Sci, Hangzhou 310027, Zhejiang, Peoples R China

来源：

CONSTRUCTIVE APPROXIMATION | 1999年 / 15卷 / 03期

关键词：

Sobolev exponent; Daubechies' scaling function; asymptotic estimate;

D O I：

10.1007/s003659900116

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the direct estimate of the Sobolev exponent of refinable distributions and its application to the asymptotic estimate of the Sobolev exponent of the M-band Daubechies' scaling functions are considered.

引用

页码：441 / 465

页数：25

共 18 条

[1] Sobolev Exponent Estimate and Asymptotic Regularity of the M -Band Daubechies' Scaling Functions
Qiyu Sun
Constructive Approximation, 1999, 15 : 441 - 465
[2] Asymptotic Behavior of M-Band Scaling Functions of Daubechies Type
Bi, N.
Debnath, L.
Sun, Q.
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 1998, 17 (04): : 813 - 830
[3] Asymptotic regularity of Daubechies' scaling functions
Lau, KS
Sun, QY
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 128 (04) : 1087 - 1095
[4] M-band scaling functions with minimal support are asymmetric
Sun, QY
APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2002, 12 (01) : 166 - 170
[5] Integral representation of M-band filters of Daubechies type
Huang, DR
Sun, QY
Zhang, ZY
CHINESE SCIENCE BULLETIN, 1997, 42 (10): : 803 - 807
[6] Integral representation of M-band filters of Daubechies type
HUANG Daren
Chinese Science Bulletin, 1997, (10) : 803 - 807
[7] Asymptotic behavior of Gibbs functions for M-band wavelet expansions
Huang, D
Zhang, ZY
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 1999, 15 (02): : 165 - 172
[8] Asymptotic Behavior of Gibbs Functions for M-Band Wavelet Expansions
Daren Huang
Zeyin Zhang
Acta Mathematica Sinica(English Series), 1999, 15 (02) : 165 - 172
[9] Orthogonal M-band compactly supported scaling functions with sampling property
Zhang, JK
Bao, Z
WAVELET APPLICATIONS V, 1998, 3391 : 659 - 666
[10] M-band compactly supported orthogonal symmetric interpolating scaling functions
Shui, PL
Bao, Z
Zhang, XD
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2001, 49 (08) : 1704 - 1713

← 1 2 →