We study the analogues of the problems of averages and maximal averages over a surface in R-n when the euclidean structure is replaced by that of a vector space over a finite field, and obtain optimal results in a number of model cases
International audienceWe obtain new uniform upper bounds for the tensor rank of the multiplication i...
Let V denote an r-dimensional vector space over F q n, the finite field of q n elements. Then V is a...
We solve the following variational problem: Find the maximum of E ∥ X−Y ∥ subject to E ∥ X ∥2 ≤ 1, w...
We study the analogues of the problems of averages and maximal averages over a surface in Rn when th...
Abstract. We study the analogues of the problems of averages and maximal averages over a surface in ...
AbstractLetMf(x)=supt>0|f*δt(ψdσ)(x)|denote the maximal operator associated with surface measuredσon...
AbstractIn recent years, sum–product estimates in Euclidean space and finite fields have received gr...
AbstractUsing some resolution of singularities and oscillatory integral methods in conjunction with ...
AbstractLet S be a hypersurface in Rn , n ≥ 2, and dμ = ψ dσ, where ψ ∈ C∞0 (Rn) and σ denotes the s...
In this paper we study the restriction estimate for the flat disk over finite fields. Mockenhaupt an...
We analyse the behaviour of the Euclidean algorithm applied to pairs (g,f) of univariate nonconstant...
In this paper we study the mapping properties of the averaging operator over a variety given by a sy...
AbstractWe derive new bounds for the smallest valuexminand the largest valuexmaxof a finite samplex1...
Abstract. In this paper we study the mapping properties of the averaging operator over a variety giv...
http://arxiv.org/PS_cache/math/pdf/0703/0703504v2.pdfWe prove that a sufficiently large subset of th...
International audienceWe obtain new uniform upper bounds for the tensor rank of the multiplication i...
Let V denote an r-dimensional vector space over F q n, the finite field of q n elements. Then V is a...
We solve the following variational problem: Find the maximum of E ∥ X−Y ∥ subject to E ∥ X ∥2 ≤ 1, w...
We study the analogues of the problems of averages and maximal averages over a surface in Rn when th...
Abstract. We study the analogues of the problems of averages and maximal averages over a surface in ...
AbstractLetMf(x)=supt>0|f*δt(ψdσ)(x)|denote the maximal operator associated with surface measuredσon...
AbstractIn recent years, sum–product estimates in Euclidean space and finite fields have received gr...
AbstractUsing some resolution of singularities and oscillatory integral methods in conjunction with ...
AbstractLet S be a hypersurface in Rn , n ≥ 2, and dμ = ψ dσ, where ψ ∈ C∞0 (Rn) and σ denotes the s...
In this paper we study the restriction estimate for the flat disk over finite fields. Mockenhaupt an...
We analyse the behaviour of the Euclidean algorithm applied to pairs (g,f) of univariate nonconstant...
In this paper we study the mapping properties of the averaging operator over a variety given by a sy...
AbstractWe derive new bounds for the smallest valuexminand the largest valuexmaxof a finite samplex1...
Abstract. In this paper we study the mapping properties of the averaging operator over a variety giv...
http://arxiv.org/PS_cache/math/pdf/0703/0703504v2.pdfWe prove that a sufficiently large subset of th...
International audienceWe obtain new uniform upper bounds for the tensor rank of the multiplication i...
Let V denote an r-dimensional vector space over F q n, the finite field of q n elements. Then V is a...
We solve the following variational problem: Find the maximum of E ∥ X−Y ∥ subject to E ∥ X ∥2 ≤ 1, w...
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