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In this talk, we consider nontrivial solutions of a quasilinear elliptic system with the weight functions h(x) and f_i (x) (i = 1, 2) by applying the Nehari manifold method along with the fibrering ma...
In this paper we present a geometric way to extend the Shintani lift from even weight cusp forms for congruence subgroups to arbitrary modular forms, in particular Eisenstein series. This is part of o...
This paper proposes a stochastic model to study the evolution of normal and excess weight population between 24 - 65 years old in the region of Valencia (Spain). An approximate solution process of the...
Eigenvalue interlacing is a versatile technique for deriving results in algebraic combinatorics. In particular, it has been successfully used for proving a number of results about the relation between...
We extend the modularity lifting result of the arXiv:1111.2804 to allow Galois representations with some ramification at p. We also prove modularity mod 2 and 5 of certain Galois representations. We u...
The sizes of optimal constant-composition codes of weight three have been determined by Chee, Ge and Ling with four cases in doubt. Group divisible codes played an important role in their construction...
Abstract: We prove that Vertex Reinforced Random Walk on $\mathbb{Z}$ with weight of order $k^\alpha$, with $\alpha\in [0,1/2)$, is either almost surely recurrent or almost surely transient. This impr...
Abstract: In this thesis, we construct a half-integral weight multiplier system on the group SU(2,1). In order to do so, we first find a formula for a 2-cocycle representing the double cover of SU(2,1...
Abstract: This article provides some basic results on weight structures, weight complex functors and homotopy categories. We prove that the full subcategories K(A)^{w < n}, K(A)^{w > n}, K(A)^- and K(...
Abstract: The aim of this article is to find all weight modules of degree 1 of a simple complex Lie algebra that integrate to a continuous representation of a simply-connected real Lie group on some H...
Orthogonal polynomials for a family of weight functions on [􀀀1; 1]2,W ; ; (x; y) = jx + yj2 +1jx 􀀀 yj2 +1(1 􀀀 x2) (1 􀀀 y2) ; are studied and shown to be related to ...
We prove that a continuous image of a Radon-Nikod´ym compact of weight less than b is Radon-Nikod´ym compact. As a Banach space counter-part, subspaces of Asplund generated Banach spaces o...
The extended weight semigroup of a homogeneous space G/H of a connected semisimple algebraic group G characterizes the spectra of the repre-sentations of G on the spaces of regular sections of homogen...
We show that a natural isomorphism between the rational cohomology groups of the two zero-dimensional Hilbert schemes of n-points of two surfaces, the affine plane minus the axes and the cotangent bun...

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