Almost everywhere convergence of the inverse spherical transform on$SL$(2,$R$)

Cristopher Meaney School of MPCE, MacQuarie University Elena Prestini Dipartimento di Matematica, Il Università di Roma

TBD mathscidoc:1701.332811

Arkiv for Matematik, 32, (1), 195-211, 1993.3
We prove the almost everywhere convergence of the inverse spherical transform of$L$_{$p$}bi-$K$-invariant functions on the group$SL$(2,$R$), 4/3<$p$≤2. The result appears to be sharp.
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@inproceedings{cristopher1993almost,
  title={Almost everywhere convergence of the inverse spherical transform on$SL$(2,$R$)},
  author={Cristopher Meaney, and Elena Prestini},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203542857471620},
  booktitle={Arkiv for Matematik},
  volume={32},
  number={1},
  pages={195-211},
  year={1993},
}
Cristopher Meaney, and Elena Prestini. Almost everywhere convergence of the inverse spherical transform on$SL$(2,$R$). 1993. Vol. 32. In Arkiv for Matematik. pp.195-211. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203542857471620.
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