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Mathematics > Classical Analysis and ODEs

arXiv:1812.08647 (math)
[Submitted on 20 Dec 2018 (v1), last revised 12 Mar 2019 (this version, v2)]

Title:An invitation to Gabor analysis

Authors:Kasso A. Okoudjou
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Abstract: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.
Comments: 17 pages, 3 figures. Revised version
Subjects: Classical Analysis and ODEs (math.CA); Functional Analysis (math.FA)
MSC classes: 42C15, 42C4, 46C05
Cite as: arXiv:1812.08647 [math.CA]
  (or arXiv:1812.08647v2 [math.CA] for this version)
  https://doi.org/10.48550/arXiv.1812.08647

Submission history

From: Kasso Okoudjou [view email]
[v1] Thu, 20 Dec 2018 15:50:53 UTC (54 KB)
[v2] Tue, 12 Mar 2019 15:41:07 UTC (70 KB)
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