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Equality of the homogeneous and the Gabor wave front set.

Authors :
Schulz, René
Wahlberg, Patrik
Source :
Communications in Partial Differential Equations. 2017, Vol. 42 Issue 5, p703-730. 28p.
Publication Year :
2017

Abstract

We prove that Hörmander’s global wave front set and Nakamura’s homogeneous wave front set of a tempered distribution coincide. In addition, we construct a tempered distribution with a given wave front set, and we develop a pseudodifferential calculus adapted to Nakamura’s homogeneous wave front set. [ABSTRACT FROM PUBLISHER]

Subjects

Subjects :
*MATHEMATICAL equivalence
*SET theory
*WAVELETS (Mathematics)
*PSEUDODIFFERENTIAL operators
*MICROLOCAL analysis

Details

Language :
English
ISSN :
03605302
Volume :
42
Issue :
5
Database :
Academic Search Index
Journal :
Communications in Partial Differential Equations
Publication Type :
Academic Journal
Accession number :
122787777
Full Text :
https://doi.org/10.1080/03605302.2017.1300173
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