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On the Characterizations of Wave Front Sets in Terms of the Short-Time Fourier Transform
- Source :
- Mathematical Notes. 105:153-157
- Publication Year :
- 2019
- Publisher :
- Pleiades Publishing Ltd, 2019.
-
Abstract
- © 2019, Pleiades Publishing, Ltd. 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.
- Subjects :
- Wavefront
General Mathematics
010102 general mathematics
Short paper
Mathematical analysis
Short-time Fourier transform
02 engineering and technology
01 natural sciences
Sobolev space
symbols.namesake
020303 mechanical engineering & transports
Fourier transform
0203 mechanical engineering
symbols
0101 mathematics
Mathematics
Subjects
Details
- ISSN :
- 15738876 and 00014346
- Volume :
- 105
- Database :
- OpenAIRE
- Journal :
- Mathematical Notes
- Accession number :
- edsair.doi.dedup.....81053790aa197022fb1fcd7c9effc204