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Factorization of the hypergeometric-type difference equation on the non-uniform lattices: dynamical algebra
(Institute of Physics, 2005-01-07)
We argue that one can factorize the difference equation of hypergeometric type on the nonuniform lattices in general case. It is shown that in the most cases of q-linear spectrum of the eigenvalues this directly leads to ...
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Carreau law for non-newtonian fluid flow through a thin porous media
(Oxford Academic, 2022-03-21)
We consider the flow of generalized Newtonian fluid through a thin porous media. The media under consideration is a bounded perforated three dimensional domain confined between two parallel plates, where the distance between ...
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Universal entire functions for affine endomorphisms of C N
(Elsevier, 2005-05-15)
In this paper the affine endomorphisms of C N which support compositionally universal entire functions are completely characterized.
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Sampling quantum nonlocal correlations with high probability
(Springer, 2016-05)
It is well known that quantum correlations for bipartite dichotomic measurements are those of the form γ=(⟨ui,vj⟩)ni,j=1, where the vectors ui and vj are in the unit ball of a real Hilbert space. In this work we study the ...
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Sharp Lp-weighted Sobolev inequalities
(Association des Annales de l'Institut Fourier, 1995)
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Heisenberg uniqueness pairs and the Klein-Gordon equation
(Princeton University, 2011)
A Heisenberg uniqueness pair (HUP) is a pair (Γ, Λ), where Γ is a curve in the plane and Λ is a set in the plane, with the following property: any bounded Borel measure µ in the plane supported on Γ, which is absolutely ...
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Some new thin sets of integers in harmonic analysis
(Springer, 2002-12)
We randomly construct various subsets A of the integers which have both smallness and largeness properties. They are small since they are very close, in various senses, to Sidon sets: the continuous functions with spectrum ...
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Approximation of Lipschitz functions by Δ-convex functions in banach spaces
(Springer, 1998-12)
In this paper we give some results about the approximation of a Lipschitz function on a Banach space by means of ∆-convex functions. In particular, we prove that the density of ∆-convex functions in the set of Lipschitz ...
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Asymptotic behavior of averaged and firmly nonexpansive mappings in geodesic spaces
(Elsevier, 2013-08)
We further study averaged and firmly nonexpansive mappings in the setting of geodesic spaces with a main focus on the asymptotic behavior of their Picard iterates. We use methods of proof mining to obtain an explicit ...
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On the properties for modifications of classical orthogonal polynomials of discrete variables
(Elsevier, 1995-12-29)
We consider a modi cation of moment functionals for some classical polynomials of a discrete variable by adding a mass point at x = 0. We obtain the resulting orthogonal polynomials, identify them as hypergeometric functions ...