Geodesic
Moment Problems and Quasi-Hausdorff Transformations
Canadian mathematical bulletin, Tome 11 (1968) no. 2, pp. 225-236

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The sequence to sequence quasi - Hausdorff transformations were defined by Hardy [1] 1 1. 19 p. 277 as follows. For a given sequence {μn} (n ≥ 0) of real or complex numbers, define the operator Δ by for k > l. {tm} (m ≥ 0) is called the sequence to sequence quasi-Hausdorff transform by means of {μn} (or, in short, the [QH, μn] transform) of {sn} (n ≥ 0) if if , provided that the sums on the right-hand side converge for all m ≥ 0. Ramanujan in [11] and [12] has defined the series to series quasi-Hausdorff transformation s and has proved necessary and sufficient conditions for the regularity of the two kinds of transformations. 
Leviatan, Dany. Moment Problems and Quasi-Hausdorff Transformations. Canadian mathematical bulletin, Tome 11 (1968) no. 2, pp. 225-236. doi: 10.4153/CMB-1968-026-7
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     author = {Leviatan, Dany},
     title = {Moment {Problems} and {Quasi-Hausdorff} {Transformations}},
     journal = {Canadian mathematical bulletin},
     pages = {225--236},
     year = {1968},
     volume = {11},
     number = {2},
     doi = {10.4153/CMB-1968-026-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1968-026-7/}
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