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- W2158996684 abstract "has a nondecreasing solution a(t) with infinitely many points of increase; moreover, if X)0>1, X2_(2X, +2)2 , Xn>_(nX,n 1) n (n= 1, 3,4, 5, ... ), and An = X2n (n=0, 1, 2, ) then the moment problem (1. 1) is indeterminate. It is the purpose of the present note to show that under much weaker conditions on the rate of growth of the sequence {An} one has for (1.1) the existence of a nondecreasing solution with infinitely many points of increase and that the problem is indeterminate. Preliminary to the proof of this result a corresponding result for the Hamburger moment problem is established. The principal result of the present note is contained in the following two theorems." @default.
- W2158996684 created "2016-06-24" @default.
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- W2158996684 date "1954-04-01" @default.
- W2158996684 modified "2023-10-18" @default.
- W2158996684 title "A note on the Hamburger and Stieltjes moment problems" @default.
- W2158996684 doi "https://doi.org/10.1090/s0002-9939-1954-0065602-5" @default.
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