摘要
Associated with the Dirac operator and partial derivatives,this paper establishes some real PaleyWiener type theorems to characterize the Clifford-valued functions whose Clifford Fourier transform(CFT) has compact support. Based on the Riemann-Lebesgue theorem for the CFT,the Boas theorem is provided to describe the CFT of Clifford-valued functions that vanish on a neighborhood of the origin.
Associated with the Dirac operator and partial derivatives,this paper establishes some real PaleyWiener type theorems to characterize the Clifford-valued functions whose Clifford Fourier transform（CFT） has compact support. Based on the Riemann-Lebesgue theorem for the CFT,the Boas theorem is provided to describe the CFT of Clifford-valued functions that vanish on a neighborhood of the origin.
基金
supported by National Natural Science Foundation of China(Grant No.11371007)
