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Radial limits and radial growth of cauchy-stieltjes transforms

✍ Scribed by Hallenbeck, D. J. ;Macgregor, T. H.


Book ID
120880781
Publisher
Taylor and Francis Group
Year
1993
Weight
484 KB
Volume
21
Category
Article
ISSN
0278-1077

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Necessary and sufficient condition that
✍ Jeffrey S. Geronimo; Theodore P. Hill πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 144 KB

The pointwise limit S of a sequence of Stieltjes transforms Γ°S n Þ of real Borel probability measures Γ°P n Þ is itself the Stieltjes transform of a Borel p.m. P if and only if iySΓ°iyÞ-Γ€ 1 as y-N; in which case P n converges to P in distribution. Applications are given to several problems in mathemat