Hankel forms

• Autorzy: Henry Helson
• Języki publikacji: EN

Abstrakty

EN

It is an open question whether Nehari's theorem on the circle group has an analogue on the infinite-dimensional torus. In this note it is shown that if the analogue holds, then some interesting inequalities follow for certain trigonometric polynomials on the torus. We think these inequalities are false but are not able to prove that.

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
• 47B35: Toeplitz operators, Hankel operators, Wiener-Hopf operators

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2010
• Tom: 198
• Numer: 1
• Strony: 79-84

Daty

wydano

2010

Twórcy

autor

Henry Helson

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

Identyfikatory

DOI

10.4064/sm198-1-5