## Abstract The present paper deals with the interaction between the multidimensional Hilbert transform and the Radon transform in Clifford analysis, both transforms being protagonists in multidimensional signal analysis theory. In an attempt to complete the picture, we consider in particular the a
Weyl transforms associated with the Hankel transform in Clifford analysis
β Scribed by Jiman Zhao; Hongbo Li
- Publisher
- John Wiley and Sons
- Year
- 2006
- Tongue
- English
- Weight
- 128 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.712
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β¦ Synopsis
Abstract
In this paper, we define the HankelβWigner transform in Clifford analysis and therefore define the corresponding Weyl transform. We present some properties of this kind of HankelβWigner transform, and then give the criteria of the boundedness of the Weyl transform and compactness on the L^p^ space. Copyright Β© 2005 John Wiley & Sons, Ltd.
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