An Invitation to Gabor Analysis

作者：Kasso Okoudjou · 发表于：Notices of the American Mathematical Society · 年份：2018 · DOI：10.1090/NOTI1894 · 被引用次数：2 · 研究领域：Mathematics

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.