Abstract
The Fourier transform on the Heisenberg group, the Fourier transform along the center of the Heisenberg group and the Euclidean Fourier transform are used to prove that Weyl transforms and convolution operators on the Heisenberg group are, respectively, classical Weyl transforms and pseudo-differential operators.
This research has been partially supported by the Natural Sciences and Engineering Research Council of Canada.
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© 2006 Birkhäuser Verlag Basel/Switzerland
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Wong, M. (2006). Weyl Transforms and Convolution Operators on the Heisenberg Group. In: Boggiatto, P., Rodino, L., Toft, J., Wong, M.W. (eds) Pseudo-Differential Operators and Related Topics. Operator Theory: Advances and Applications, vol 164. Birkhäuser Basel. https://doi.org/10.1007/3-7643-7514-0_8
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DOI: https://doi.org/10.1007/3-7643-7514-0_8
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-7643-7513-3
Online ISBN: 978-3-7643-7514-0
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