Equality of the homogeneous and the Gabor wave front set

Type: Article

Publication Date: 2017-03-07

Citations: 18

DOI: https://doi.org/10.1080/03605302.2017.1300173

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.

Locations

  • Communications in Partial Differential Equations - View
  • arXiv (Cornell University) - View - PDF

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