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.
Equality of the homogeneous and the Gabor wave front set / Schulz, René; Wahlberg, Patrik. - In: COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0360-5302. - 42:5(2017), pp. 703-720.
Equality of the homogeneous and the Gabor wave front set
Wahlberg, Patrik
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.File in questo prodotto:
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https://hdl.handle.net/11583/2961456