## Abstract In this paper, we define the Hankel–Wigner transform in Clifford analysis and therefore define the corresponding Weyl transform. We present some properties of this kind of Hankel–Wigner transform, and then give the criteria of the boundedness of the Weyl transform and compactness on the
The Paley–Wiener Theorem in Rn with the Clifford Analysis Setting
✍ Scribed by Kit-Ian Kou; Tao Qian
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 139 KB
- Volume
- 189
- Category
- Article
- ISSN
- 0022-1236
No coin nor oath required. For personal study only.
✦ Synopsis
We prove the Paley-Wiener Theorem in the Clifford algebra setting. As an application we derive the corresponding result for conjugate harmonic functions.
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