论文标题
单位球上正交多项式的傅立叶变换
Fourier transform of the orthogonal polynomials on the unit ball
论文作者
论文摘要
获得了单位球上多元正交多项式的傅立叶变换。通过使用Parseval的身份,引入了新的多元正交功能。结果以连续的Hahn多项式表示。
Fourier transform of multivariate orthogonal polynomials on the unit ball are obtained. By using Parseval's identity, a new family of multivariate orthogonal functions are introduced. The results are expressed in terms of the continuous Hahn polynomials.