9 papers
When is an automatic set an additive basis?
Jason Bell, Kathryn Hare, Jeffrey Shallit
We characterize those -automatic sets of natural numbers that form an additive basis for the natural numbers, and we show that this characterization is effective. In additio…
Transferring spherical multipliers on compact symmetric spaces
Sanjiv K. Gupta, Kathryn E. Hare
We prove a two-sided transference theorem between spherical multipliers on the compact symmetric space and multipliers on the vector space wh…
Local dimensions of measures of finite type on the torus
Kathryn E. Hare, Kevin G. Hare, Kevin R. Matthews
The structure of the set of local dimensions of a self-similar measure has been studied by numerous mathematicians, initially for measures that satisfy the open set condition and,…
Assouad dimensions of complementary sets
Ignacio Garcia, Kathryn Hare, Franklin Mendivil
Given a positive, decreasing sequence whose sum is , we consider all the closed subsets of such that the lengths of their complementary open intervals are in one to…
Local dimensions of measures of finite type II - Measures without full support and with non-regular probabilities
Kathryn E. Hare, Kevin G. Hare, Michael Ka Shing Ng
Consider a sequence of linear contractions and probabilities with . We are interested in the self-similar measure $μ=\sum p_{j}μ\…
The absolute continuity of convolutions of orbital measures in symmetric spaces
Sanjiv Kumar Gupta, Kathryn E. Hare
We characterize the absolute continuity of convolution products of orbital measures on the classical, irreducible Riemannian symmetric spaces of Cartan type , where …