| 阿贝尔群上函数的傅里叶谱特征 |
| |
| 引用本文： | 肖国镇.阿贝尔群上函数的傅里叶谱特征[J].电子学报,1992,20(7):36-42. |
| |
| 作者姓名： | 肖国镇 |
| |
| 作者单位： | 西安电子科技大学信息保密研究所，Dept.of Computer Science Dortmund University 4600 Dortmund 50，Germany 西安 710071 |
| |
| 摘 要： | 本文解决了阿贝尔群上调和分析的如下经典问题:一组有序复数是G~(?)到D中的函敦f的付里叶谱的充分必要条件是甚么?这里D表示(?)(复数域),(?)(实数域)或G(有限阿贝尔群)。对子G=(?)_2的情形,已有的一些结论是本文主要定理的推论。
|
| 关 键 词： | 阿贝尔群 傅里叶谱 布尔函数 |
On the Characterization of the Fourier Spectra of Functions Defined on an Abelian Group |
| |
| Xiao Guozhen.On the Characterization of the Fourier Spectra of Functions Defined on an Abelian Group[J].Acta Electronica Sinica,1992,20(7):36-42. |
| |
| Authors: | Xiao Guozhen |
| |
| Abstract: | In this paper we solve the following classical problem of Harmonie Analysis on Abelian Groups. Which are the necessary and sufficient conditions that should be satisfied by an ordered set of complex numbers in order to be the Fourier-(Chrestenson)-Spectrum of a function, f: Gnf33D where D may denote , or G? We obtain as corollaries to the main theorems some known results for G = 2 |
| |
| Keywords: | Abelian group Fourier spectrum Boolean function Calculation complexity |
| 本文献已被 CNKI 维普 等数据库收录！ |
