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ON AN EXTENSION PROBLEM FOR POLYNOMIALS
Published online by Cambridge University Press: 23 October 2001
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.
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- © The London Mathematical Society 2001
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