The Dirichlet kernel on the real hyperbolic space for radial functions
Mathematical Physics
2020-05-25 v1 math.MP
Abstract
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.
Cite
@article{arxiv.2005.11068,
title = {The Dirichlet kernel on the real hyperbolic space for radial functions},
author = {Agapitos N. Hatzinikitas},
journal= {arXiv preprint arXiv:2005.11068},
year = {2020}
}
Comments
14 pages