An Invitation to Gabor Analysis
An Invitation to Gabor Analysis
复制标题
DOI：
10.1090/noti1894
复制
发表时间：
2018-12
影响因子：
--
通讯作者：
K. Okoudjou
中科院分区：
文献类型：
--
作者：
K. Okoudjou
Gabor分析可以追溯到Dennis Gabor的有影响力的1946年的论文\"通信理论\"，它涉及给定窗函数的时间和频率偏移集合的近似性质的理论和应用。在上个世纪末，随着小波的出现，它又重新出现了，现在它正处于数学、应用数学、工程和科学等许多领域的交叉点。本文的目的是通过阐述三个开放的问题来简要介绍Gabor分析。
Gabor analysis which can be traced back to Dennis Gabor's influential 1946 paper \emph{Theory of communication}, is concerned with both the theory and the applications of the approximation properties of sets of time and frequency shifts of a given window function. It re-emerged with the advent of wavelets at the end of the last century and is now at the intersection of many fields of mathematics, applied mathematics, engineering, and science. The goal of this paper is to give a brief introduction to Gabor analysis by elaborating on three open problems.