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A rational moment problem on the unit circle

A rational moment problem on the unit circle

Let {<^k}kLi k e a sequence of not necessarily distinct points on the complex unit circle.We consider the moment problem: find a positive measure on [-TT, TT] such that for UQ = 1 and u)n( zu;n(e*) for a given sequence of moments {/inj^Lo* ^^^ P a P er gives results …