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Recent Developments on the Moment Problem [PDF]
Journal of Statistical Distributions and Applications, 2017 We consider univariate distributions with finite moments of all positive orders. The moment problem is to determine whether or not a given distribution is uniquely determined by the sequence of its moments.
Lin, Gwo Dong
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On the Moment Problem and Related Problems
Mathematics, 2021 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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Shape, Velocity, and Exact Controllability for the Wave Equation
Journal of Optimization, Differential Equations and Their Applications, 2022 A new method to prove exact controllability for the wave equation is demonstrated and discussed on several examples. The method of proof first uses a dynamical argument to prove shape controllability and velocity controllability, thereby solving their ...
Sergei Avdonin +2 more
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On the Truncated Multidimensional Moment Problems in
Axioms, 2022 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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The multidimensional truncated moment problem: The moment cone [PDF]
Journal of Mathematical Analysis and Applications, 2022 1 figure, 3 ...
di Dio, P., Schmüdgen, K.
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Mathematics, 2021 This note is concerned with two new methods for the solution of a Cauchy problem. The first method is based on homotopy-perturbation approach which leads to solving a series of well-posed boundary value problems.
Mohsen Tadi, Miloje Radenkovic
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On the moment-determinacy of power Lindley distribution and some applications to software metrics
Anais da Academia Brasileira de Ciências, 2021 The Lindley distribution and its numerous generalizations are widely used in statistical and engineering practice. Recently, a power transformation of Lindley distribution, called the power Lindley distribution, has been introduced by M. E. Ghitany et al.
MOHAMMED KHALLEEFAH +2 more
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Deficiency indices of block Jacobi matrices and Miura transformation
Special Matrices, 2022 We study the infinite Jacobi block matrices under the discrete Miura-type transformations which relate matrix Volterra and Toda lattice systems to each other and the situations when the deficiency indices of the corresponding operators are the same.
Osipov Andrey
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The photon magnetic moment problem revisited [PDF]
, 2014 The photon magnetic moment for radiation propagating in magnetized vacuum is defined as a pseudo-tensor quantity, proportional to the external electromagnetic field tensor.
Querts, E. Rodriguez, Rojas, H. Perez
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The truncated matrix trigonometric moment problem with an open gap
Concrete Operators, 2014 This paper is a continuation of our previous investigations on the truncated matrix trigonometric moment problem in Ukrainian Math. J., 2011, 63, no. 6, 786-797, and Ukrainian Math. J., 2013, 64, no. 8, 1199- 1214.
Zagorodnyuk Sergey
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