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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 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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Nature, 1965
The Classical Moment Problem And some Related Questions in Analysis. By N. I. Akhiezer. Translated by N. Kemmer. (University Mathematical Monographs.) Pp. x + 253. (Edinburgh and London: Oliver and Boyd, 1965.) 70s.
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The Classical Moment Problem And some Related Questions in Analysis. By N. I. Akhiezer. Translated by N. Kemmer. (University Mathematical Monographs.) Pp. x + 253. (Edinburgh and London: Oliver and Boyd, 1965.) 70s.
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Moment Problem and Spectral Theorem
International Journal of Theoretical Physics, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Duchoň, Miloslav, Pulmannová, Sylvia
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Moments problem in Frechet spaces
Mathematical Notes, 1993The author gives solvability conditions of moment problems for an arbitrary sequence of linear continuous functionals over Fréchet spaces. As is known many theorems in analysis state the solvability conditions for numerous moment problems. The author notes that the solvability problem is equivalent to the fact that the sequence of linear functionals is
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The Cubic Complex Moment Problem
Integral Equations and Operator Theory, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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