期刊论文

Title Some properties of frame for translate operator and modulation operator

中文

华中师范大学学报(自然科学版)

1000-1190

2019

53

6

847-851

10.19603/j.cnki.1000-1190.2019.06.003

11601403:国家自然科学基金 201808420025:教育部国家留学基金 2019CFB602:湖北省自然科学基金

本校为第一机构

连续框架是Hilbert空间中的一组向量,它们能够利用连续叠加方式重构任意向量.该文讨论了平移算子和调制算子所诱导的函数族的框架性质,给出了它们不成为连续框架的条件.

A continuous frame is a family of vectors in a Hilbert space which allows reproductions of arbitrary elements by continuous superpositions. The author discussed some properties of some families of functions induced by translate operator or modulation operator, and gave some conditions for thes...