Geodesic
Multidimensional Versions of Paley's Inequality
Matematičeskie zametki, Tome 70 (2001) no. 6, pp. 941-947 
V. A. Yudin. Multidimensional Versions of Paley's Inequality. Matematičeskie zametki, Tome 70 (2001) no. 6, pp. 941-947. http://geodesic.mathdoc.fr/item/MZM_2001_70_6_a11/
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     author = {V. A. Yudin},
     title = {Multidimensional {Versions} of {Paley's} {Inequality}},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2001_70_6_a11/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

For trigonometric polynomials of two variables whose spectrum lies both in the interior and on the boundary of a strictly convex domain, the lower bounds of their norms on $L$ are given. They are expressed in terms of the Fourier coefficients whose numbers are located on the boundary.

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