The Hausdorff moments in statistical mechanics
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The Hausdorff moments in statistical mechanics
Articles you may be interested in The Hausdorff entropic moment problem A new method for solving the Hausdorff moment problem is presented which makes use of Pollaczek polynomials. This problem is severely ill posed; a regu-larized solution is obtained without any use of prior knowledge. When the problem is treated in the L* space and the moments are finite in number and affected by noise or ro...
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In this paper we consider power and trigonometric series whose coefficients are supposed to satisfy the Hausdorff conditions, which play a relevant role in the moment problem theory. We prove that these series converge to functions analytic in cut domains. We are then able to reconstruct the jump functions across the cuts from the coefficients of the series expansions by the use of the Pollacze...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 1993
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.530282