Results 11 to 20 of about 137,723 (315)
Using the Fourier transform, integral representations of solutions to boundary value problems of heat conduction and diffusion in a two-phase region with a moving interface are obtained.
Valentin V. Shevelev
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The integration of a Lie algebra representation [PDF]
Let u: G —> A be a differentiable representation of a Lie group into a 6-algebra. The differential u0 = du, of u at the neutral element e of G is a representation of the Lie algebra 9 of G into A. Because a Lie group is locally the union of one-parameter subgroups and since the infinitesimal generator of a differentiable (multiplicative) sub-semi-group
Tits, Jacques, Waelbroeck, Lucien
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Corrigendum to “Operators with an integral representation”
We make an observation that may clarify the main definition from our paper [Proc. Amer. Math. Soc. 144 (2016), pp. 5275–5290].
R. Cilia, J. M. Gutiérrez
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An Integral Representation of the Relative Entropy [PDF]
Recently the identity of de Bruijn type between the relative entropy and the relative Fisher information with the reference moving has been unveiled by Verdú via MMSE in estimation theory. In this paper, we shall give another proof of this identity in more direct way that the derivative is calculated by applying integrations by part with the heat ...
Miku Hirata, Aya Nemoto, Hiroaki Yoshida
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Research of the Relationship of the Integral Characteristics of the Representation
The article raises the problem of representation, indicates that the multidimensionality, diversity of representation as a mental phenomenon requires consideration in different coordinate systems.
Peskov V.P.,
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The aim of this work is to obtain an integral representation formula for the solutions of initial value problems for autonomous linear fractional neutral systems with Caputo type derivatives and distributed delays. The results obtained improve and extend
Ekaterina Madamlieva +3 more
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On the two variables κ-Appell hypergeometric matrix functions
This work aims to introduce [Formula: see text]-Appell hypergeometric matrix functions [Formula: see text] and [Formula: see text], where [Formula: see text].
Muneera Abdullah Qadha +2 more
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A Note on Integrable Representations [PDF]
It is shown that if all the coordinate functions of an induced representation π =
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Given real parameters a,b,c and integer shifts n1,n2,m, we consider the ratio R(z)=2F1(a+n1,b+n2;c+m;z)/2F1(a,b;c;z) of the Gauss hypergeometric functions.
Alexander Dyachenko, Dmitrii Karp
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Integral representation of a solution to the Stokes-Darcy problem [PDF]
With methods of potential theory we develop a representation of a solution of the coupled Stokes-Darcy model in a Lipschitz domain for boundary data in H-1 ...
Medková, Dagmar +6 more
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