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Abstract: We present a general theory for studying the difference analogues of special functions of hypergeometric type on the linear-type lattices, i.e., the solutions of the second order linear diff...
Abstract: In this work, we aim to prove algebra properties for generalized Sobolev spaces $W^{s,p} \cap L^\infty$ on a Riemannian manifold, where $W^{s,p}$ is of Bessel-type $W^{s,p}:=(1+L)^{-s/m}(L^p...
Abstract: We study self-improving properties in the scale of Lebesgue spaces of generalized Poincar\'e inequalities in the Euclidean space. We present an abstract setting where oscillations are given ...
Abstract: Some recent research on the tensor products of operator systems and ensuing nuclearity properties in this setting raised many stability problems. In this paper we examine the preservation of...
The causal properties of Lorentzian symmetric spaces are investigated in the paper. There is proved the global hyperbolicity of the Cahen–Wallach Lorentzian symmetric spaces, corresponding to solvable...
In this paper, we discuss rates of convergence for the Lupa¸s q-analogue of Bernstein polynomials Rn,q. We prove a quantitative variant of Voronovskaja’s theorem for Rn,q.
Nonlinear time series analysis aims at understanding the dynamics of stochastic or chaotic processes.In recent years, quite a few methods have been proposed to transform a single time series to a comp...
We study directed last passage percolation on the first quadrant of the planar square lattice whose weights have general distributions, or equivalently, · /G/1 queues in series.The service time distri...
Bringmann and Lovejoy introduced a rank for overpartition pairs and investigated its role in congruence properties of pp(n), the number of overpartition pairs of n. In particular, they applied the the...
In this paper, we investigate some properties for an integral operator defined by Al-Oboudi differential operator.
Let $u$ be a solution to a second order elliptic equation with singular potentials belonging to Kato--Fefferman--Phong's class in Lipschitz domains. An elementary proof of the doubling property for $u...

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