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- W2022280535 abstract "We consider the problem of deciding whether or not a given positive Borel measure μ on the n -dimensional torus T n is S-determinate, which means that μ is entirely determined by the subset of its Fourier coefficients {μ̂( k ), k ∈ S }, where S is an arbitrary subset of Z n containing 0 and with the property that − k ∈ S whenever k ∈ S . We give necessary and sufficient conditions for S -determinacy and show that, when S is a finite set, the validity of this property can be verified algebraically by an algorithmic procedure involving trigonometric polynomials with spectrum in S vanishing on the support of μ and satisfying certain positivity properties." @default.
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- W2022280535 date "1999-11-01" @default.
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- W2022280535 title "Truncated Trigonometric Moment Problems and Determinate Measures" @default.
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- W2022280535 doi "https://doi.org/10.1006/jmaa.1999.6567" @default.
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