On the Growth of Positive Definite Double Sequences Which Are not Moment Sequences |
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Authors: | Torben Maack Bisgaard |
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Abstract: | For every a > 1, there is a function f : N20 → R, which is positive semidefinite but not a moment sequence, such that |f(m, n)| ≥ m+ na(m+n) for all (m, n). The constant 1 is the best possible. |
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