Abstract
If ω is an Ap-weight with some additional condition and (λ) is a separated sequence of all zeros of a sine-type function possessing a certain multiplier (in the sense of Fourier transforms) property, then the corresponding system of exponentials \((e^{i\lambda _n t} )\) constitutes a basis in the weighted space Lp((−π, π), ω(t)dt), 1 < π < ∞.
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