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Published in:
2013 | OriginalPaper | Chapter
A Note on Wave-front Sets of Roumieu Type Ultradistributions
Authors : Karoline Johansson, Stevan Pilipović, Nenad Teofanov, Joachim Toft
Published in: Pseudo-Differential Operators, Generalized Functions and Asymptotics
Publisher: Springer Basel
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We study wave-front sets in weighted Fourier–Lebesgue spaces and corresponding spaces of ultradistributions. We give a comparison of these sets with the well-known wave-front sets of Roumieu type ultradistributions. Then we study convolution relations in the framework of ultradistributions. Finally, we introduce modulation spaces and corresponding wave-front sets, and establish invariance properties of such wave-front sets.