Add to ORKGAbstract. We study the analogues of the problems of averages and maximal averages over a surface in Rn 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. 1
Motivated by a connection with block iterative methods for solving linear systems over finite fields...
Abstract. In this paper we study the behaviour of two functions which can be defined in normed space...
We analyse the behaviour of the Euclidean algorithm applied to pairs (g,f) of univariate nonconstant...
We study the analogues of the problems of averages and maximal averages over a surface in Rn when th...
In this paper we study the mapping properties of the averaging operator over a variety given by a sy...
Abstract. In this paper we study the mapping properties of the averaging operator over a variety giv...
AbstractIn recent years, sum–product estimates in Euclidean space and finite fields have received gr...
A maximal vector of a set is one which is not less than any other vector in all components. We deriv...
Thesis (Ph. D.)--University of Rochester. Department of Mathematics, 2019.In this thesis we present ...
AbstractUsing some resolution of singularities and oscillatory integral methods in conjunction with ...
AbstractLetMf(x)=supt>0|f*δt(ψdσ)(x)|denote the maximal operator associated with surface measuredσon...
AbstractIn the construction of sets of orthogonal Latin hypercubes and in the study of finite projec...
The entire dissertation/thesis text is included in the research.pdf file; the official abstract appe...
AbstractWe study a combinatorial problem for vector spaces over finite fields which generalizes the ...
We discuss recent work of several authors on the Kakeya needle problem and other related problems in...
Motivated by a connection with block iterative methods for solving linear systems over finite fields...
Abstract. In this paper we study the behaviour of two functions which can be defined in normed space...
We analyse the behaviour of the Euclidean algorithm applied to pairs (g,f) of univariate nonconstant...
We study the analogues of the problems of averages and maximal averages over a surface in Rn when th...
In this paper we study the mapping properties of the averaging operator over a variety given by a sy...
Abstract. In this paper we study the mapping properties of the averaging operator over a variety giv...
AbstractIn recent years, sum–product estimates in Euclidean space and finite fields have received gr...
A maximal vector of a set is one which is not less than any other vector in all components. We deriv...
Thesis (Ph. D.)--University of Rochester. Department of Mathematics, 2019.In this thesis we present ...
AbstractUsing some resolution of singularities and oscillatory integral methods in conjunction with ...
AbstractLetMf(x)=supt>0|f*δt(ψdσ)(x)|denote the maximal operator associated with surface measuredσon...
AbstractIn the construction of sets of orthogonal Latin hypercubes and in the study of finite projec...
The entire dissertation/thesis text is included in the research.pdf file; the official abstract appe...
AbstractWe study a combinatorial problem for vector spaces over finite fields which generalizes the ...
We discuss recent work of several authors on the Kakeya needle problem and other related problems in...
Motivated by a connection with block iterative methods for solving linear systems over finite fields...
Abstract. In this paper we study the behaviour of two functions which can be defined in normed space...
We analyse the behaviour of the Euclidean algorithm applied to pairs (g,f) of univariate nonconstant...