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A Note on Wave-front Sets of Roumieu Type Ultradistributions

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Pseudo-Differential Operators, Generalized Functions and Asymptotics

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 231))

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Abstract

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.

Mathematics Subject Classification (2010). 35A18,46F05.

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Author information

Authors and Affiliations

  1. Department of Computer science, Mathematics and Physics, Linnæus University, Växjö, Sweden

    Karoline Johansson & Joachim Toft

  2. Department of Mathematics and Informatics, University of Novi Sad, Novi Sad, Serbia

    Stevan Pilipović & Nenad Teofanov

Authors
  1. Karoline Johansson
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  2. Stevan Pilipović
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  3. Nenad Teofanov
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  4. Joachim Toft
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Corresponding author

Correspondence to Karoline Johansson .

Editor information

Editors and Affiliations

  1. , Department of Mathematics and Statistics, Queen's University, University Avenue, Jeffery Hall, Kingston, K7L 3N6, Ontario, Canada

    Shahla Molahajloo

  2. , Dept. of Mathematics & Informatics, University of Novi Sad, Trg Dsiteja Obradovica 4, Novi Sad, 21000, Serbia

    Stevan Pilipović

  3. Dept. of Computer Science, Physics, and Mathematics, Linnæus University, Vejdes Plats 6, Växjö, 351 95, Sweden

    Joachim Toft

  4. Department of Mathematics & Statistics, York University, Keele Street 4700, Toronto, M3J 1P3, Ontario, Canada

    M. W. Wong

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Johansson, K., Pilipović, S., Teofanov, N., Toft, J. (2013). A Note on Wave-front Sets of Roumieu Type Ultradistributions. In: Molahajloo, S., Pilipović, S., Toft, J., Wong, M. (eds) Pseudo-Differential Operators, Generalized Functions and Asymptotics. Operator Theory: Advances and Applications, vol 231. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0585-8_12

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