Geodesic
Uniqueness theorems for solutions of the convolution equation
Izvestiya. Mathematics , Tome 70 (2006) no. 6, pp. 1077-1092

Voir la notice de l'article provenant de la source Math-Net.Ru

Precise uniqueness theorems are proved for the solutions of a convolution equation on Riemannian symmetric spaces of non-compact type of rank $1$ and an application is given to lacunary series with respect to special functions. 
@article{IM2_2006_70_6_a0,
     author = {V. V. Volchkov},
     title = {Uniqueness theorems for solutions of the convolution equation},
     journal = {Izvestiya. Mathematics },
     pages = {1077--1092},
     publisher = {mathdoc},
     volume = {70},
     number = {6},
     year = {2006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2006_70_6_a0/}
}
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V. V. Volchkov. Uniqueness theorems for solutions of the convolution equation. Izvestiya. Mathematics , Tome 70 (2006) no. 6, pp. 1077-1092. http://geodesic.mathdoc.fr/item/IM2_2006_70_6_a0/