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仿射Bessel序列的判别
  • 期刊名称：数学学报中文版
  • 时间：2015.7.2
  • 页码：673-678
  • 分类：O174.2[理学—数学;理学—基础数学]
  • 作者机构：[1]中南林业科技大学理学院,长沙410004, [2]湖南师范大学数学与计算机科学学院,长沙410081
  • 相关基金：国家自然科学基金资助项目（11071065,11171306）; 数学天元青年基金资助项目（11426221）; 湖南省自然科学基金资助项目（13JJ4088）
  • 相关项目：变指数模化空间的特征及其应用
作者： 王玮|
关键词： FOURIER变换, BESSEL序列, 框架, Fourier transform, Bessel sequences, frame
中文摘要：

通过引进Bessel控制函数,并对它的充分性和必要性作研究,建立了对仿射Bessel序列的新的判别法.最后提出几个未解决的问题.

英文摘要：

By introducing Bessel control functions, and studying its necessary conditions and sufficient conditions, a new criterion for affine Bessel sequences with control functions is established. Furthermore, some open questions are posed.

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