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

Lekesiz, Esra Güldoğan, Aktaş, Rabia, Area, Iván

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.

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