Osaka Journal of Mathematics

Remark on characterization of wave front set by wave packet transform

Keiichi Kato, Masaharu Kobayashi, and Shingo Ito

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In this paper, we give characterizations of usual wave front set and wave front set in $H^s$ in terms of wave packet transform without any restriction on basic wave packet, which give complete answers of the question raised by G. B. Folland.

Article information

Osaka J. Math., Volume 54, Number 2 (2017), 209-228.

First available in Project Euclid: 1 June 2017

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35A18: Wave front sets
Secondary: 42B10: Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type


Kato, Keiichi; Kobayashi, Masaharu; Ito, Shingo. Remark on characterization of wave front set by wave packet transform. Osaka J. Math. 54 (2017), no. 2, 209--228.

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