Pointwise Fourier inversion of distributions on spheres

Czechoslovak Mathematical Journal

Francisco Javier González Vieli¹ 

关键词: distribution;    sphere;    Fourier-Laplace series;    Abel summability;   

DOI  :  10.21136/CMJ.2017.0403-16

学科分类：数学（综合）

来源: Akademie Ved Ceske Republiky

【 摘 要 】

  Given a distribution $T$ on the sphere we define, in analogy to the work of Łojasiewicz, the value of $T$ at a point $\xi$ of the sphere and we show that if $T$ has the value $\tau$ at $\xi$, then the Fourier-Laplace series of $T$ at $\xi$ is Abel-summable to $\tau$.

【 授权许可】

Unknown