Building wavelets on ]0,1[ at large seales

被引：6

作者：

Bertoluzza, S

Falletta, S

机构：

[1] CNR, Ist Matemat Applicata & Tecnol Informat, I-27100 Pavia, Italy

[2] Univ Pavia, Dipartimento Matemat F Casorati, I-27100 Pavia, Italy

来源：

JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS | 2003年 / 9卷 / 03期

关键词：

multiresolution analysis; wavelets on interval;

D O I：

10.1007/s00041-003-0014-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a new approach to the construction of orthonormal wavelets on the interval which allows to overcome the "non interacting boundaries" restriction of existing constructions, and therefore to construct wavelets for ]0, 1[ also at large scales in such a way that, in the range of validity of the existing constructions, the two approaches give the same result.

引用

页码：261 / 288

页数：28

共 14 条

[1]

ANDERSSON L, 1994, WAVELET ANAL ITS APP, V3, P1

[2]

BERTOLUZZA S, 2001, M2AN, V35

[3] The wavelet element method - Part II. Realization and additional features in 2D and 3D [J].