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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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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DOI: https://doi.org/10.1007/978-3-319-47512-7_1
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