Geodesic
A resonance theorem and series in eigenfunctions of the Laplacian
Izvestiya. Mathematics, Tome 6 (1972) no. 4, pp. 788-806 
E. M. Nikishin. A resonance theorem and series in eigenfunctions of the Laplacian. Izvestiya. Mathematics, Tome 6 (1972) no. 4, pp. 788-806. http://geodesic.mathdoc.fr/item/IM2_1972_6_4_a6/
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     title = {A~resonance theorem and series in eigenfunctions of the {Laplacian}},
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Voir la notice de l'article provenant de la source Math-Net.Ru

By means of a resonance theorem we will establish the existence of functions in $L_p(\Omega)$ (where $\Omega$ is an $N$-dimensional region) whose expansion in eigenfunctions of the Laplacian is not Riesz-summable of order $a$ if $1\leqslant p\frac{2N}{N+1}$.

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