Hostname: page-component-586b7cd67f-t8hqh Total loading time: 0 Render date: 2024-11-28T13:58:57.589Z Has data issue: false hasContentIssue false
  • English
  • Français

ON AN EXTENSION PROBLEM FOR POLYNOMIALS

Published online by Cambridge University Press:  23 October 2001

MIHÁLY BAKONYI  and
DAN TIMOTIN
MIHÁLY BAKONYI
Affiliation:
Department of Mathematics, Georgia State University, Atlanta, Georgia 30303, [email protected]
DAN TIMOTIN
Affiliation:
Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, Bucharest 70700, Romania; [email protected]
Get access

Abstract

Consider the following problem: given complex numbers a1, …, an, find an L∞ function f of minimum norm whose Fourier coefficients ck(f) are equal to ak for k between 0 and n. We show the uniqueness of this function, and we estimate its norm. The operator-valued case is also discussed.

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 33 , Issue 5 , September 2001 , pp. 599 - 605
Copyright
© The London Mathematical Society 2001

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)