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- W2325768122 abstract "Let K be a subset of BV(0 , 1)—the space of functions of bounded variation on the closed interval [0, 1]. By the Hausdorff moment problem for K we shall mean the determination of necessary and sufficient conditions that corresponding to a given sequence μ = {μ n |n = 0, 1, 2, …} there should be a function α ∈ K so that (1) For various collections K this problem has been solved—see (3, Chapter III) By the trigonometric moment problem for K we shall mean the determination of necessary and sufficient conditions that corresponding to a sequence c = {c n |n = 0, ± 1, ± 2, …} there should be a function α ∈ K so that (2) For various collections K this problem has also been solved—see, for example (4, Chapter IV, § 4). It is noteworthy that these two problems have been solved for essentially the same collections K ." @default.
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- W2325768122 date "1961-01-01" @default.
- W2325768122 modified "2023-09-30" @default.
- W2325768122 title "On the Hausdorff and Trigonometric Moment Problems" @default.
- W2325768122 doi "https://doi.org/10.4153/cjm-1961-038-8" @default.
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