The equality of the homogeneous and the Gabor wave front set
classification
🧮 math.AP
math.FA
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frontwavehomogeneousdistributionnakamuratemperedadaptedaddition
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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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