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On a problem of moments
Published online by Cambridge University Press: 24 October 2008
Extract
1. The problem in question is to find a necessary and sufficient condition which numbers co, …, cm must satisfy in order that there shall be a non-decreasing function σ(t) such that
where (a, b) is an unbounded interval. (When (a, b) is a bounded interval, the problem has been solved. See Achyèser and Krein, Communications de la Société Mathématique de Kharkoff, Série 4, 12 (1935), 13–35, Satz C.)
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- Research Article
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- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 45 , Issue 1 , January 1949 , pp. 1 - 4
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- Copyright © Cambridge Philosophical Society 1949
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