Title of article
Necessary and sufficient condition that the limit of Stieltjes transforms is a Stieltjes transform Original Research Article
Author/Authors
Jeffrey S. Geronimo، نويسنده , , Theodore P. Hill، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2003
Pages
7
From page
54
To page
60
Abstract
The pointwise limit S of a sequence of Stieltjes transforms (Sn) of real Borel probability measures (Pn) is itself the Stieltjes transform of a Borel p.m. P if and only if iyS(iy)→−1 as y→∞, in which case Pn converges to P in distribution. Applications are given to several problems in mathematical physics.
Keywords
Borel probability measure , Stieltjes transform , Grommer–Hamburger theorem , Weak convergence
Journal title
Journal of Approximation Theory
Serial Year
2003
Journal title
Journal of Approximation Theory
Record number
852112
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