Results 251 to 260 of about 6,554,333 (291)
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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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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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The K-moment problem with densities
Mathematical Programming, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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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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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
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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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1943
This book was first published in 1943 and then was reprinted several times with corrections. It presents the development of the classical problem of moments for the first 50 years, after its introduction by Stieltjes in the 1890s. In addition to initial developments by Stieltjes, Markov, and Chebyshev, later contributions by Hamburger, Nevanlinna ...
J. Shohat, J. Tamarkin
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This book was first published in 1943 and then was reprinted several times with corrections. It presents the development of the classical problem of moments for the first 50 years, after its introduction by Stieltjes in the 1890s. In addition to initial developments by Stieltjes, Markov, and Chebyshev, later contributions by Hamburger, Nevanlinna ...
J. Shohat, J. Tamarkin
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Mathematical Proceedings of the Cambridge Philosophical Society, 1949
1. The problem in question is to find a necessary and sufficient condition which numbers co, …, cm must satisfy in order that there shall be a non-decreasing function σ(t) such thatwhere (a, b) is an unbounded interval. (When (a, b) is a bounded interval, the problem has been solved.
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1. The problem in question is to find a necessary and sufficient condition which numbers co, …, cm must satisfy in order that there shall be a non-decreasing function σ(t) such thatwhere (a, b) is an unbounded interval. (When (a, b) is a bounded interval, the problem has been solved.
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