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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.
G. Klambauer
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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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The discrete moment problem with fractional moments
Operations Research Letters, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Anh Ninh, András Prékopa
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, 2017 This advanced textbook provides a comprehensive and unified account of the moment problem. It covers the classical one-dimensional theory and its multidimensional generalization, including modern methods and recent developments.
Schmüdgen, Konrad, Konrad Schmüdgen
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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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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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The quantum problem of moments II
Reports on Mathematical Physics, 1970Positive definite functional on the algebra A generated by the position and momentum operators are investigated. The necessary and sufficient condition for the existence of a density matrix representing a given positive definite functional ω is formulated.
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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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The K-moment problem with densities
Mathematical Programming, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Mathematics Magazine, 1971
Suppose that a rigid rod of unit mass and unit length is allowed to oscillate in a plane as a pendulum about one end as the point of suspension. If c is a given real number, is it possible to prescribe the mass distribution of the rod (call it f(x)) so that (i) f is a continuous function on [0, 1], (ii) the center of mass is c distant from the point of
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Suppose that a rigid rod of unit mass and unit length is allowed to oscillate in a plane as a pendulum about one end as the point of suspension. If c is a given real number, is it possible to prescribe the mass distribution of the rod (call it f(x)) so that (i) f is a continuous function on [0, 1], (ii) the center of mass is c distant from the point of
openaire +1 more source