Wavelet Sets and Scaling Sets in Local Fields

被引：3
|
作者：
Behera, Biswaranjan [1 ]
机构：
[1] Stat & Math Unit, 203 BT Rd, Kolkata 700108, India
来源：
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS | 2021年 / 27卷 / 05期
关键词：
Local field; Wavelet set; Scaling set; Generalized scaling set; MSF wavelet; MRA-wavelet; Translation congruence; Dilation congruence; MULTIRESOLUTION ANALYSIS; DIMENSION FUNCTIONS; CONSTRUCTION; DILATIONS; MRAS;
D O I：
10.1007/s00041-021-09887-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We provide characterizations of minimally supported frequency multiwavelets, multiwavelet sets, generalized scaling sets, and scaling sets in a local field of positive characteristic. We also construct examples of multiwavelet sets and wavelet sets. In particular, we construct examples of unbounded wavelet sets and show that the corresponding wavelets are not associated with multiresolution analyses.
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页数：23
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