Wavelets on general lattices, associated with general expanding maps of Rn

被引：21

作者：

Calogero, A ^{[1
]}

机构：

[1] Univ Milan, Dipartimento Matemat, I-20133 Milan, Italy

来源：

ELECTRONIC RESEARCH ANNOUNCEMENTS OF THE AMERICAN MATHEMATICAL SOCIETY | 1999年 / 5卷

关键词：

wavelets; multiresolution analysis (MRA); general lattices in R-n; MSF wavelets; multiwavelets;

D O I：

10.1090/S1079-6762-99-00054-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the context of a general lattice Gamma in R-n and a strictly expanding map M which preserves the lattice, we characterize all the wavelet families, all the MSF wavelets, all the multiwavelets associated with a Multiresolution Analysis (MRA) of multiplicity d greater than or equal to 1; and all the scaling functions. Moreover, we give several examples: in particular, we construct a single, MRA and C-infinity(R-n) wavelet, which is nonseparable and with compactly supported Fourier transform.

引用

页码：1 / 10

页数：10

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