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On the Moment Problem and Related Problems
Firstly, we recall the classical moment problem and some basic results related to it. By its formulation, this is an inverse problem: being given a sequence (yj)j∈ℕn of real numbers and a closed subset F⊆ℝn, n∈{1,2,…}, find a positive regular Borel ...
Octav Olteanu
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The multidimensional truncated moment problem: The moment cone [PDF]
1 figure, 3 ...
di Dio, P., Schmüdgen, K.
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Hankel and Toeplitz operators: continuous and discrete representations [PDF]
We find a relation guaranteeing that Hankel operators realized in the space of sequences \(\mathcal{l}^2 (\mathbb{Z}_{+})\) and in the space of functions \(L^2 (\mathbb{R}_{+})\) are unitarily equivalent.
Dmitri R. Yafaev
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On the Truncated Multidimensional Moment Problems in
We consider the problem of finding a (non-negative) measure μ on B(Cn) such that ∫Cnzkdμ(z)=sk, ∀k∈K. Here, K is an arbitrary finite subset of Z+n, which contains (0,…,0), and sk are prescribed complex numbers (we use the usual notations for multi ...
Sergey Zagorodnyuk
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On the sufficiency of K-positivity for truncated compactly supported generalized moment problems
Given a compact set K and a finite set of continuous basis functions, the truncated generalized K-moment problem asks for a characterization of all sequences that can be obtained as moments, with respect to the basis functions, of some nonnegative ...
Axel Ringh
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On the Convergence of Moment Problems [PDF]
We study the problem of estimating a nonnegative density, given a finite number of moments. Such problems arise in numerous practical applications. As the number of moments increases, the estimates will always converge weak
Borwein, J. M., Lewis, A. S.
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A Moment Method for the Second Order Two-point Boundary Value Problems [PDF]
In this paper a Moment method based on the second, third and fourth kindChebyshev polynomials is proposed to approximate the solution of a linear twopointboundary value problem of the second order.
Ahmed M. Shokr +2 more
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Wearable Inertial Sensors-based Joint Kinetics Estimation of Lower Extremity Using a Recurrent Neural Network [PDF]
Recently, the estimation of joint kinetics such as joint force and moment using wearable inertial sensors has received great attention in biomechanics. Generally, the joint force and moment are calculated though inverse dynamics using segment kinematic ...
Ji Seok Choi +2 more
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MOMENT PROBLEMS IN WEIGHTED \(L^2\) SPACES ON THE REAL LINE
For a class of sets with multiple terms $$ \{\lambda_n,\mu_n\}_{n=1}^{\infty}:=\{\underbrace{\lambda_1,\lambda_1,\dots,\lambda_1}_{\mu_1 - times}, \underbrace{\lambda_2,\lambda_2,\dots,\lambda_2}_{\mu_2 - times},\dots, \underbrace{\lambda_k,\lambda_k ...
Elias Zikkos
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Magnetically suspended control moment gyro (MSCMG) outputs gyro moment by changing the direction of the rotor angular momentum to adjust the spacecraft attitude.
Jinji Sun, Jiye Zhao
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