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- W2085764609 abstract "It was shown in [SIAM J. Math. Anal. 15 (1984), pp. 137–142] that the eigenvalues $(lambda _n )$ of any positive definite $C^p $ kernel are $o({1 / {n^{p + 1} }})$ as $n to infty $. More recently, Ha has proved [SIAM J. Math. Anal., 17 (1986), pp. 415–419] that, for p even, a stronger result holds, namely, that $sum _1^infty n^p lambda _n < infty $ . It is the purpose of this note to show by counterexample that Ha’s result is not true for p odd." @default.
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- W2085764609 date "1986-03-01" @default.
- W2085764609 modified "2023-09-25" @default.
- W2085764609 title "Positive Definite $C^p $ Kernels" @default.
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- W2085764609 doi "https://doi.org/10.1137/0517032" @default.
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