Hankel forms and sums of random variables
Studia Mathematica, Tome 176 (2006) no. 1, pp. 85-92
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
A well known theorem of Nehari asserts on the circle group that bilinear forms in $H^2$ can be lifted to linear functionals on $H^1$. 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.
Keywords:
known theorem nehari asserts circle group bilinear forms lifted linear functionals result extended hankel forms infinitely many variables certain type corollary proof norms class steinhaus series equivalent
Affiliations des auteurs :
Henry Helson 1
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author = {Henry Helson},
title = {Hankel forms and sums of random variables},
journal = {Studia Mathematica},
pages = {85--92},
publisher = {mathdoc},
volume = {176},
number = {1},
year = {2006},
doi = {10.4064/sm176-1-6},
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url = {http://geodesic.mathdoc.fr/articles/10.4064/sm176-1-6/}
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Henry Helson. Hankel forms and sums of random variables. Studia Mathematica, Tome 176 (2006) no. 1, pp. 85-92. doi: 10.4064/sm176-1-6
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