The Wavelet Transform in Clifford Analysis

被引：0

作者：

Jan Cnops

机构：

[1] BME,

[2] Hogeschool Gent,undefined

来源：

Computational Methods and Function Theory | 2001年 / 1卷 / 2期

关键词：

Clifford analysis; wavelet transform; weighted Bergman spaces; invariant Dirac operator; 30G35; 42B20;

D O I：

10.1007/BF03320996

中图分类号：

学科分类号：

摘要：

The upper half space G = {(x0,…, xn): x0 > 0} can be considered as the group generated by dilations and translations on ℝn. This group has a natural unitary representation on L2(ℝn). Using the continuous wavelet transform, certain Banach and Hilbert spaces of functions monogenic (i.e. solutions of the Cauchy-Riemann operator) on the Poincaré half space are constructed. The Hilbert spaces are linked with the fractional calculus of the Dirac operator on ℝn.

引用

页码：353 / 374

页数：21

共 8 条

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