The equality of the homogeneous and the Gabor wave front set

Published 29 Apr 2013 in math.AP and math.FA | (1304.7608v3)

Abstract: We prove that H\"ormander'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.

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