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Moment problem

Known as: Problem of moments 
In mathematics, a moment problem arises as the result of trying to invert the mapping that takes a measure μ to the sequences of moments More… Expand
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Papers overview

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Highly Cited
2013
Highly Cited
2013
For any multivariate distribution with finite moments we can ask, as in the univariate case, whether or not the distribution is… Expand
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Highly Cited
2009
Highly Cited
2009
. From a theoretical viewpoint, the GPM has developments and impact in var-ious area of Mathematics like algebra, Fourier… Expand
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Highly Cited
2008
Highly Cited
2008
We consider the numerical solution of elliptic boundary value problems in domains with random boundary perturbations. Assuming… Expand
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Highly Cited
2008
Highly Cited
2008
We study the quantum moment problem: given a conditional probability distribution together with some polynomial constraints, does… Expand
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Highly Cited
2006
Highly Cited
2006
  • T. Georgiou
  • IEEE Transactions on Information Theory
  • 2006
  • Corpus ID: 10033712
Entropy-like functionals on operator algebras have been studied since the pioneering work of von Neumann, Umegaki, Lindblad, and… Expand
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Highly Cited
2002
Highly Cited
2002
The purpose of this paper is to provide some additional insight into the moment problem by connecting a condition by Lin… Expand
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Highly Cited
1999
Highly Cited
1999
Abstract Classical results of Stieltjes are used to obtain explicit formulas for the peakon–antipeakon solutions of the Camassa… Expand
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1999
1999
Abstract The moment problem in several variables is solved by imposing a natural set of positivity conditions to certain one… Expand
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Highly Cited
1996
Highly Cited
1996
Introduction Moment matrices Positive moment matrices and representing measures Existence of representing measures Extension of… Expand
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Highly Cited
1961
Highly Cited
1961
A layer of material which absorbs incident focussed laser light and undergoes a resultant heating is arranged in the focal plane… Expand
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