A+ CATEGORY SCIENTIFIC UNIT

Hankel forms

Volume 198 / 2010

Henry Helson Studia Mathematica 198 (2010), 79-84 MSC: 43A15, 30B50, 15A63, 47B35. DOI: 10.4064/sm198-1-5

Abstract

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.

Authors

  • Henry HelsonMathematics Department
    University of California
    Berkeley, CA 94720-3840, U.S.A.
    e-mail

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