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A Hausdorff-like moment problem and the inversion of the Laplace transform
Mathematische Nachrichten, 2006AbstractWe consider the problem of finding u ∈ L 2(I ), I = (0, 1), satisfying ∫I u (x )x dx = μ k , where k = 0, 1, 2, …, (α k ) is a sequence of distinct real numbers greater than –1/2, and μ = (μ kl ) is a given bounded sequence of real numbers. This is an ill‐posed problem.
Nguyen Dung +3 more
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Dyukarev–Stieltjes parameters of the truncated Hausdorff matrix moment problem
Boletin De La Sociedad Matematica Mexicana, 2016Starting from some parameters concerning the scalar data, appearing in a work published by \textit{T. J. Stieltjes} as early as 1894 [Toulouse Ann. 8, J1--J122 (1894; JFM 25.0326.01)], and generalized by \textit{Yu. M. Dyukarev} [Visn. Khark. Univ., Ser. Mat. Prykl. Mat. Mekh.
Abdon Eddy Choque-Rivero
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On the Resolvent Matrix of the Truncated Hausdorff Matrix Moment Problem
Complex Analysis and Operator TheoryzbMATH Open Web Interface contents unavailable due to conflicting licenses.
Choque-Rivero, A. E. +1 more
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The Hausdorff Moment Problem with Complex Exponents and a Müntz-Szasz Theorem for Distributions
Mathematische Nachrichten, 1997AbstractThis paper deals with a Hausdorff moment problem with complex exponents, that is, given a sequence of complex numbers (zn)n and a fixed space X of functions denned on [0, 1], we ask under which conditions on a sequence (an)n the moment problem an = ∫ tZn f(t) dt for n ∈ IN has a solution in the space X.
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Generalization of the Hausdorff Moment Problem
Canadian Journal of Mathematics, 1981Suppose throughout that {kn} is a sequence of positive integers, thatthat k0 = 1 if l0 = 1, and that {un(r)}; (r = 0, 1, …, kn – 1, n = 0, 1, …) is a sequence of real numbers. We shall be concerned with the problem of establishing necessary and sufficient conditions for there to be a function a satisfying(1)and certain additional conditions.
Borwein, David, Jakimovski, Amnon
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The Hausdorff entropic moment problem
Journal of Mathematical Physics, 2001Our aim in this paper is twofold. First, to find the necessary and sufficient conditions to be satisfied by a given sequence of real numbers {ωn}n=0∞ to represent the “entropic moments” ∫[0,a][ρ(x)]ndx of an unknown non-negative, decreasing and differentiable (a.e.) density function ρ(x) with a finite interval support. These moments are called entropic
Romera, E., Angulo, J. C., Dehesa, J. S.
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On the Hausdorff Moment Problem
1978New necessary and sufficient conditions for solutions of the Hausdorff moment problem are presented.
A. Jakimovski, D. C. Russell
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On the Hausdorff and Trigonometric Moment Problems
Canadian Journal of Mathematics, 1961Let K be a subset of BV(0, 1)—the space of functions of bounded variation on the closed interval [0, 1]. By the Hausdorff moment problem for K we shall mean the determination of necessary and sufficient conditions that corresponding to a given sequence μ = {μn|n = 0, 1, 2, …} there should be a function α ∈ K so that(1)For various collections K this ...
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Generalized Hausdorff inverse moment problem
Physica A: Statistical Mechanics and its Applications, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pintarelli, María B., Vericat, Fernando
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Moment Problems and Quasi-Hausdorff Transformations
Canadian Mathematical Bulletin, 1968The 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
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