Shannon multiresolution analysis on the Heisenberg group

被引：9
|
作者：
Mayeli, Azita [1 ]
机构：
[1] Tech Univ Munich, Ctr Math, D-85747 Garching, Germany
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 348卷 / 02期
关键词：
Heisenberg group; Schrodinger representations; group Fourier transformation; plancherel theorem; band-limited functions; convolution operator; wavelet frame;
D O I：
10.1016/j.jmaa.2008.07.035
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present a notion of frame multiresolution analysis on the Heisenberg group, abbreviated by FMRA, and study its properties. Using the irreducible representations of this group, we shall define a sinc-type function which is our starting point for obtaining the scaling function. Further, we shall give a concrete example of a wavelet FMRA on the Heisenberg group which is analogous to the Shannon MRA on R. (C) 2008 Elsevier Inc. All rights reserved.
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页码：671 / 684
页数：14
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