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Pseudo-Differential Operators on the Affine Group

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Pseudo-Differential Operators: Groups, Geometry and Applications

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Abstract

Pseudo-differential operators are defined on the affine group using the Fourier inversion formula for the Fourier transform on the affine group. The Weyl transform on the affine group is given and so are the L 2-L p estimates for pseudo-differential operators on the affine group.

This research has been supported by the Natural Sciences and Engineering Research Council of Canada under Discovery Grant 0008562.

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Author information

Authors and Affiliations

  1. EPFL SB MATHAA PDE, MA C1 657 (Bâtiment MA), Station 8, CH-1015, Lausanne, Switzerland

    Aparajita Dasgupta

  2. Department of Mathematics and Statistics, York University, 4700 Keele Street, Toronto, ON, M3J 1P3, Canada

    M. W. Wong

Authors
  1. Aparajita Dasgupta
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  2. M. W. Wong
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Corresponding author

Correspondence to M. W. Wong .

Editor information

Editors and Affiliations

  1. Department of Mathematics and Statistics, York University, Toronto, Ontario, Canada

    M. W. Wong

  2. Department of Mathematics and Statistics, York University, Toronto, Ontario, Canada

    Hongmei Zhu

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Dasgupta, A., Wong, M.W. (2017). Pseudo-Differential Operators on the Affine Group. In: Wong, M., Zhu, H. (eds) Pseudo-Differential Operators: Groups, Geometry and Applications. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-47512-7_1

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