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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, U.S.A.mbakonyi@cs.gsu.edu
DAN TIMOTIN
Affiliation:
Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, Bucharest 70700, Romania; dtimotin@imar.ro
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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

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