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自仿测度的谱性质
  • ISSN号：1006-8341
  • 期刊名称：《纺织高校基础科学学报》
  • 时间：0
  • 分类：O174.12[理学—数学;理学—基础数学]
  • 作者机构：[1]陕西师范大学数学与信息科学学院,陕西西安710062
  • 相关基金：国家自然科学基金资助项目（10871132）
作者： 张陇生[1]
关键词： 自仿测度, 和谐对, 谱, FOURIER变换, 仿射迭代函数系, self-affine measure, compatible pair, spectrum, Fourier transform, affine iterated function systems
中文摘要：

借助于测度的Fourier变换,利用Parseval恒等式,给出了谱测度得到和谐对的条件.通过讨论自仿测度的Fourier变换零点的性质,得到一个特殊的L2（μM,D）空间至多有3个μM,D指数正交系.

英文摘要：

Some conditions from spectral measure to compatible pair are obtained by using of Fourier transform and Parseval equality, and by discussing the properties of the zero points of the self-affine measure＇s Fourier transform ,it is proved that there are at most three orthogonal exponentials in a special L^2 （μM,D） space.

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期刊信息
  • 《纺织高校基础科学学报》
  • 中国科技核心期刊
  • 主管单位:陕西省教育厅
  • 主办单位:西安工程大学 全国纺织教育学会
  • 主编：高勇
  • 地址：西安市金花南路19号179信箱
  • 邮编：710048
  • 邮箱：xuebao699@163.com
  • 电话：029-62779061 62779060
  • 国际标准刊号：ISSN：1006-8341
  • 国内统一刊号：ISSN：61-1296/TS
  • 邮发代号:
  • 获奖情况:
  • 1997年7月获陕西省教育厅、省新闻出版局优秀期刊...,陕西省优秀科技期刊,陕西省高校优秀期刊
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  • 被引量:2230