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Central Limit Theorem in View of Subspace Convex-Cyclic Operators [PDF]
In our work we have defined an operator called subspace convex-cyclic operator. The property of this newly defined operator relates eigenvalues which have eigenvectors of modulus one with kernels of the operator.
H.M. Hasan +3 more
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Molecular Characterizations of Anisotropic Mixed-Norm Hardy Spaces and Their Applications
Let p→∈(0,∞)n be an exponent vector and A be a general expansive matrix on Rn. Let HAp→(Rn) be the anisotropic mixed-norm Hardy spaces associated with A defined via the non-tangential grand maximal function.
Jun Liu, Long Huang, Chenlong Yue
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Application of automorphic forms to lattice problems
In this article, we propose a new approach to the study of lattice problems used in cryptography. We specifically focus on module lattices of a fixed rank over some number field.
Düzlü Samed, Krämer Juliane
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Multivariate and abstract approximation theory for Banach space valued functions
Here we study quantitatively the high degree of approximation of sequences of linear operators acting on Banach space valued Fréchet differentiable functions to the unit operator, as well as other basic approximations including those under convexity ...
Anastassiou George A.
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Positive operators and approximation in function spaces on completely regular spaces
We discuss the approximation properties of nets of positive linear operators acting on function spaces defined on Hausdorff completely regular spaces. A particular attention is devoted to positive operators which are defined in terms of integrals with ...
Francesco Altomare, Sabrina Diomede
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This paper is concerned with approximation on variable Lρp(·) spaces associated with a general exponent function p and a general bounded Borel measure ρ on an open subset Ω of Rd. We mainly consider approximation by Bernstein type linear operators. Under
Bing-Zheng Li, Ding-Xuan Zhou
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Linear Hyperbolic Functional-Differential Equations with Essentially Bounded Right-Hand Side
Theorems on the unique solvability and nonnegativity of solutions to the characteristic initial value problem u1,1(t,x)=l0(u)(t,x)+l1(u1,0)(t,x)+l2(u0,1)(t,x)+q(t,x), u(t,c)=α(t) for t∈[a,b], u(a,x)=β(x) for x∈[c,d] given on ...
Alexander Domoshnitsky +3 more
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High order approximation theory for Banach space valued functions
Here we study quantitatively the high degree of approximation of sequences of linear operators acting on Banach space valued di§erentiable functions to the unit operator. These operators are bounded by real positive linear companion operators.
George A. Anastassiou
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Introduction Complex analysis is a comparatively active branch in mathematics which has grown significantly. A deep look at the implications of continuity, derivative and integral in complex analysis and their relation with partial differential equations
Mozhgan Akbari, Fateme Joveini
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Calderón problem for nonlocal viscous wave equations: Unique determination of linear and nonlinear perturbations. [PDF]
Zimmermann P.
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