论文标题

径向功能的真实双曲线空间上的dirichlet内核

The Dirichlet kernel on the real hyperbolic space for radial functions

论文作者

Hatzinikitas, Agapitos N.

论文摘要

提供渐近膨胀以及必要的和充分的条件,以使实际双曲线空间上相关的傅立叶变换的球形部分积分的侧面收敛。所提出的方法允许人们使用统一框架产生新的结果并与已知的结果开放。

Asymptotic expansions as well as necessary and sufficient conditions are provided for the pointwise convergence of the spherical partial integrals of the associated Fourier transforms on the real hyperbolic space. The proposed method permits one to produce new results and opens a connection with already known ones utilizing a unified framework.

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