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Moment Functions and Moment Operators
In this section, we define some generalizations of the k-Borel and k-Laplace operators and we investigate some of their properties. To do that, let...
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On a construction method of new moment sequences
In this paper we provide a way to construct new moment sequences from a given moment sequence. An operator based on multivariate positive polynomials...
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Jacobi Matrices and the Moment Problem
This monograph presents the solution of the classical moment problem, the construction of Jacobi matrices and corresponding polynomials. The cases of...
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Moment-SoS methods for optimal transport problems
Most common optimal transport (OT) solvers are currently based on an approximation of underlying measures by discrete measures. However, it is...
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Moment functions of higher rank on some types of hypergroups
We consider moment functions of higher order. In our earlier paper, we have already investigated the moment functions of higher order on groups. The...
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Stability in Truncated Trigonometric Scalar Moment Problems
A truncated and a full trigonometric scalar moment problem in several variables are solved, via an inner non-negative product introduced and an...
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Linear Moment Partial Differential Equations
Introduced in the 2010 article (Funkcial Ekvac 53:411–434, 2010) by W. Balser and M. Yoshino in order to present a new tool to study the classical...
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Complete moment convergence for ND random variables under the sub-linear expectations
In this article, we establish a general result on complete moment convergence for arrays of rowwise negatively dependent(ND) random variables under...
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Generalized Truncated Moment Problems with Unbounded Sets
This paper studies generalized truncated moment problems with unbounded sets. First, we study geometric properties of the truncated moment cone and...
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Dispersion in Shallow Moment Equations
Shallow moment models are extensions of the hyperbolic shallow water equations. They admit variations in the vertical profile of the horizontal...
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Moment-Borel-Laplace Method and Summability
In this chapter, we are concerned with a generalization of the Borel-Laplace method in terms of the general moment-Borel and moment-Laplace...
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Dga Models for Moment-Angle Complexes
A dga model for the integral singular cochains on a moment-angle complex is given by the twisted tensor product of the corresponding Stanley–Reisner...
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On the Conical Hull of Moment Vectors
Konyagin and Protasov recently found a simple and visual proof of a key assertion for proving Hilbert’s identity and solving Waring’s problem. It...
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Homogeneous and nonhomogeneous linear trigonometric moment problem and recursiveness
This paper aims to study the linear trigonometric moment problem related to some homogeneous and nonhomogeneous recursive sequences. More precisely,...
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On a criterion for the determinate–indeterminate dichotomy of the moment problem
When the classical Hamburger moment problem has solutions, it has either exactly one solution or infinitely many solutions. Correspondingly, the...
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Distributionally Robust Optimization with Moment Ambiguity Sets
This paper studies distributionally robust optimization (DRO) when the ambiguity set is given by moments for the distributions. The objective and...
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The Strong Moment Problem
In this chapter, we present the main provisions concerning the strong moment problem. More precisely, strong classical, when studying the possibility...
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Transformations of Moment Functionals
In measure theory several results are known how measure spaces are transformed into each other. But since moment functionals are represented by a...
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Learning Invariance Preserving Moment Closure Model for Boltzmann–BGK Equation
As one of the main governing equations in kinetic theory, the Boltzmann equation is widely utilized in aerospace, microscopic flow, etc. Its...
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A distributional Farkas’ lemma and moment optimization problems with no-gap dual semi-definite programs
We present a generalized Farkas’ Lemma for an inequality system involving distributions. This lemma establishes an equivalence between an...