Equality of the homogeneous and the Gabor wave front set |
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| Authors: | René Schulz |
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| Affiliation: | Institut für Analysis, Leibniz Universit?t Hannover, Hannover, Germany |
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| 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. |
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| Keywords: | Gabor wave front set homogeneous wave front set microlocal analysis Shubin calculus semiclassical analysis |
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