Hankel forms and sums of random variables
Studia Mathematica, Tome 176 (2006) no. 1, p. 85.

Voir la notice de l'article dans European Digital Mathematics Library

A well known theorem of Nehari asserts on the circle group that bilinear forms in H² can be lifted to linear functionals on H¹. We show that this result can be extended to Hankel forms in infinitely many variables of a certain type. As a corollary we find a new proof that all the L p norms on the class of Steinhaus series are equivalent.
Classification : 43A15, 15A63, 30B50
Mots-clés : Hankel form, lifting property, Hilbert-Schmidt form, homogeneous Fourier series 
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Henry Helson. Hankel forms and sums of random variables. Studia Mathematica, Tome 176 (2006) no. 1, p. 85. https://geodesic-test.mathdoc.fr/item/STUMA_2006__176_1_284816/