Abstract
in an open set GdR such that (t, x, j)=(0, 0, In paper [1] J.M. Bony showed that if for £ Q u is regular outside Dp 2)2, S3 and the forward light cone starting at the point Sx fl S2 fl S3. A basic tool used in the proof of this fact was, among other things, the notion of second microlocalization and in particular of second wave front set. As it is well known the notion of the first wave front set WFu of a distribution u can be described with the help of the Fourier transformation. We show that in the case of the second wave front set an analogous role is played by the Mellin transformation. Moreover we give a new proof of Bony 's theorem on propagation of 2-microlocal singularities.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Publications of the Research Institute for Mathematical Sciences
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
