Hankel forms and sums of random variables

• Autorzy: Henry Helson
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 43A15: L p -spaces and other function spaces on groups, semigroups, etc.
• 15A63: Quadratic and bilinear forms, inner products \SeeMainly{}
• 30B50: Dirichlet series and other series expansions, exponential series

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2006
• Tom: 176
• Numer: 1
• Strony: 85-92

Daty

wydano

2006

Twórcy

autor

Henry Helson

• Mathematics Department, University of California, Berkeley, CA 94720-3840, U.S.A.

Identyfikatory

DOI

10.4064/sm176-1-6