Mathematical Notes

, Volume 105, Issue 1–2, pp 153–157 | Cite as

On the Characterizations of Wave Front Sets in Terms of the Short-Time Fourier Transform

  • S. PilipovićEmail author
  • B. PrangoskiEmail author
Short Communications


It is well known that the classical and Sobolev wave fronts were extended to nonequivalent global versions by the use of the short-time Fourier transform. In this very short paper, we give complete characterizations of the former wave front sets in terms of the short-time Fourier transform.


wave front set short-time Fourier transform 


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© Pleiades Publishing, Ltd. 2019

Authors and Affiliations

  1. 1.Department of Mathematics and InformaticsUniversity of Novi SadNovi SadSerbia
  2. 2.Department of MathematicsFaculty of Mechanical Engineering-SkopjeSkopjeMacedonia

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