尺度 $\nu +1$ 的贝塞尔函数多分辨小波分析
泛函分析
2007-05-23 v2 数学物理
math.MP
摘要
我们识别出通过汉克尔变换产生贝塞尔函数的多分辨子空间。它们作为源于几何希尔伯特空间考量的正交系出现，其方式与多分辨尺度小波构造中的小波函数源于希尔伯特空间尺度的方式相同。我们研究由此多分辨分析产生的 C*-代数 O_{\nu+1} 的表示理论。
引用
@article{arxiv.math/0006103,
title = {Multiresolution wavelet analysis of Bessel functions of scale $\nu +1$},
author = {P. E. T. Jorgensen and A. Paolucci},
journal= {arXiv preprint arXiv:math/0006103},
year = {2007}
}
备注
19 pages, REVTeX v. 3.1, submitted to J. Math. Phys., PACS 02.30.Nw, 02.30.Tb, 03.65.-w, 03.65.Bz, 03.65.Db. In the revision, the title is changed (from "Deformed multiresolution wavelet analysis of scale $\nu +1$"), some more introductory material is added, and some points both in the statements of results and their proof have been clarified