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Abelian theorem for the Stieltjes transform of distributions
First, a definition is given of the Stieltjes transform of distributions which contains some well-known. Then, a structural theorem for distributions having S-asymptotic is proved.
Bogoljub Stanković
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The generalized Stieltjes transform and its inverse [PDF]
The generalized Stieltjes transform (GST) is an integral transform that depends on a parameter ρ>0. In previous work a convenient form of the inverse transformation was derived for the case ρ=3∕2. This paper generalizes that result to all ρ>0.
Schwarz, John H., John H. Schwarz
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Some properties of Urysohn-Stieltjes integral operators [PDF]
We investigate some properties of Urysohn-Stieltjes integral operators. The assumptions will be formulated under which the operators in question transform the space of coatinuous functions into itself or in the space of functions of bounded variation ...
Józef Banaś
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Iterated Stieltjes transform of generalized functions
The generalized S2-transform of a member of f of a certain space of generalized functions is defined as F(x)=〈f(t),k(x,t;ρ)〉, wherek(x,t;ρ)=∫0∞1(x+y)ρ(y+t)ρ dy, ρ>12 ...
L. S. Dube
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Replica method for eigenvalues of real Wishart product matrices
We show how the replica method can be used to compute the asymptotic eigenvalue spectrum of a real Wishart product matrix. For unstructured factors, this provides a compact, elementary derivation of a polynomial condition on the Stieltjes transform first
Jacob A. Zavatone-Veth, Cengiz Pehlevan
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Isomorphic Classification of Reflexive Müntz Spaces
The article is devoted to reflexive Müntz spaces M Λ , p of
Sergey V. Ludkowski
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Averages for Multivariate Random Vectors with Random Weights
We consider a random weights average of n independent continuous random vectors X1, ..., Xn, where random weights are cuts of [0, 1] by an increasing sequence of the order statistics of a random sample from a uniform [0, 1].
A.R. Soltani , Rasool Roozegar
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On the distributional Stieltjes transformation [PDF]
This paper is concerned with some general theorems on the distributional Stieltjes transformation. Some Abelian theorems are proved.
D. Nikolic-Despotovic, A. Takaci
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Tauberian theorems for the Laplace-Stieltjes transform [PDF]
Let α : [ 0
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The paper provides reliability analysis of a cold double redundant renewable system assuming that both life-time and repair time distributions are arbitrary. The proposed approach is based on the theory of decomposable semi-regenerative processes.
Vladimir Rykov +3 more
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