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Hausdorff moment problem and fractional moments
Applied Mathematics and Computation, 2010In probabilistic terms, the Hausdorff moment problem means to recover an unknown probability density function \(f\in L^2[0,1]\) from the knowledge of its associated sequence \(\{\mu_j\}^M_{j=0}\) of integer moments, that is, \(\mu_j=\int_0^1x^jf(x),j\geq0,\mu_0=1\). The authors propose a solution to the Hausdorff moment problem using fractional moments,
H. Gzyl, Tagliani, Aldo
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Noncommutative moments problem
Functional Analysis and Its Applications, 1987Let \(U\) be a unitary representation of a real finite-dimensional Lie group \(G\) on a separable complex Hilbert space \(H\) and let \(dU\) be the corresponding representation of the complex enveloping *-algebra \(L\) of \(G\), defined on a domain \(D\subseteq H\).
Daletskiĭ, A. Yu., Samoĭlenko, Yu. S.
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1995
In this chapter we present the classical moment problems as they have been mathematically defined. Moment problems are the simplest way to describe inverse problems mathematically. These problems were originally posed with moments being integrals of monomials. Such moment problems are ill-posed, and present considerable computational difficulty. On the
Marek A. Kowalski +2 more
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In this chapter we present the classical moment problems as they have been mathematically defined. Moment problems are the simplest way to describe inverse problems mathematically. These problems were originally posed with moments being integrals of monomials. Such moment problems are ill-posed, and present considerable computational difficulty. On the
Marek A. Kowalski +2 more
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Non-Chebyshevian Moment Problems
SIAM Journal on Numerical Analysis, 1970In this paper we treat moment problems where the moments are induced by a system of n linearly independent functions. The algorithm presented in [4] is generalized to this case which means that its range of application is expanded to rather general semi-infinite programs.
Gustafson, Sven-Åke +2 more
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Mathematische Nachrichten, 1991
In {\S} 2 of this paper, the author fixes the objects of his investigation and states simple results. Further the paper contains a suitable description and properties of sets of solutions as well as relations between different kinds of moment problems.
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In {\S} 2 of this paper, the author fixes the objects of his investigation and states simple results. Further the paper contains a suitable description and properties of sets of solutions as well as relations between different kinds of moment problems.
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Stieltjes moment problem and fractional moments
Applied Mathematics and Computation, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
H. Gzyl, Tagliani, Aldo
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Stieltjes moment problem via fractional moments
Applied Mathematics and Computation, 2005The authors extend a procedure for the reconstruction of probability density function from the knowledge of its infinite sequence of ordinary moments [cf. the authors, ibid. 144, No. 1, 61--74 (2003; Zbl 1029.44003)] from the case of distributions with finite positive support (Hausdorff case) to the case where the distribution has \([0,\infty ...
Novi Inverardi, Pier Luigi +3 more
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Canadian Mathematical Bulletin, 1981
We shall apply the spectral theorem for self adjoint operators in Hilbert space to study an operator version of the Stieltjes moment problem [1]. In the course of the work we shall make use of the Friedrichs extension theorem which states that any non-negative symmetric operator in Hilbert space has a non-negative self adjoint extension.
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We shall apply the spectral theorem for self adjoint operators in Hilbert space to study an operator version of the Stieltjes moment problem [1]. In the course of the work we shall make use of the Friedrichs extension theorem which states that any non-negative symmetric operator in Hilbert space has a non-negative self adjoint extension.
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