The local limit theorem on nilpotent Lie groups

@article{Hough2018TheLL,
  title={The local limit theorem on nilpotent Lie groups},
  author={Robert D. Hough},
  journal={Probability Theory and Related Fields},
  year={2018},
  volume={174},
  pages={761-786}
}
  • Robert D. Hough
  • Published 2018
  • Mathematics
  • A local limit theorem is proven on connected, simply connected nilpotent Lie groups, for a class of generating measures satisfying a moment condition and a condition on the characteristic function of the abelianization. The result extends an earlier local limit theorem of Alexopoulos which treated absolutely continuous measures with a continuous density of compact support, and also extends local limit theorems of Breuillard and Diaconis–Hough which treated general measures on the Heisenberg… CONTINUE READING

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