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The abc Problem for Gabor Systems Book PDF Summary

A longstanding problem in Gabor theory is to identify time-frequency shifting lattices aZ×bZ and ideal window functions χI on intervals I of length c such that {e−2πinbtχI(t−ma): (m,n)∈Z×Z} are Gabor frames for the space of all square-integrable functions on the real line. In this paper, the authors create a time-domain approach for Gabor frames, introduce novel techniques involving invariant sets of non-contractive and non-measure-preserving transformations on the line, and provide a complete answer to the above abc-problem for Gabor systems.

Detail Book of The abc Problem for Gabor Systems PDF

The  abc  Problem for Gabor Systems
  • Author : Xin-Rong Dai
  • Release : 05 October 2016
  • Publisher : American Mathematical Soc.
  • ISBN : 9781470420154
  • Genre : Mathematics
  • Total Page : 116 pages
  • Language : English
  • PDF File Size : 10,5 Mb

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