Geodesic
Fourier inversion of distributions on real hyperbolic spaces
Francisco-Javier González Vieli1 ; Francisco-Javier González Vieli
1Montoie 45, 1007 Lausanne, Switzerland
Acta mathematica Universitatis Comenianae, Tome 94 (2025) no. 4, pp. 297-310 
Francisco-Javier González Vieli; Francisco-Javier González Vieli. Fourier inversion of distributions on real hyperbolic spaces. Acta mathematica Universitatis Comenianae, Tome 94 (2025) no. 4, pp. 297-310. http://geodesic.mathdoc.fr/item/AMUC_2025_94_4_a5/
@article{AMUC_2025_94_4_a5,
     author = {Francisco-Javier Gonz\'alez Vieli and Francisco-Javier Gonz\'alez Vieli},
     title = { Fourier inversion of distributions on real hyperbolic spaces},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {297--310},
     year = {2025},
     volume = {94},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2025_94_4_a5/}
}
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Voir la notice de l'article provenant de la source Comenius University

We show that the Fourier integral of a distribution with compact support on a real hyperbolic space is uniformly Cesàro-summable to zero on the neighbourhood of a point if and only if this point does not belong to the support of the distribution.