A. Iosevich

activity

19992011

most citedExtension theorems for the Fourier transform associated with non-degenerate quadratic surfaces in vector spaces over finite fields

14 citations · 72 across the 26 of their papers we have counts for

collaborators

Showing 2011Show all

3 papers · 1 filter

math.CA2011

Multi-parameter projection theorems with applications to sums-products and finite point configurations in the Euclidean setting

B. Erdoğan, D. Hart, A. Iosevich

In this paper we study multi-parameter projection theorems for fractal sets. With the help of these estimates, we recover results about the size of $A \cdot A + ... + A \cdot A$ , where…

math.CO2011

Geometric configurations in the ring of integers modulo $p^{ℓ}$

David Covert, Alex Iosevich, Jonathan Pakianathan

We study variants of the Erd\H os distance problem and dot products problem in the setting of the integers modulo $q$ , where $q = p^{ℓ}$ is a power of an odd prime.

math.CA2011

Lattice points close to families of surfaces, non-isotropic dilations and regularity of generalized Radon transforms

Alex Iosevich, Krystal Taylor

We prove that if $ϕ : R^{d} \times R^{d} \to R$ , $d \geq 2$ , is a homogeneous function, smooth away from the origin and having non-zero Monge-Ampere determinant away…

Multi-parameter projection theorems with applications to sums-products and finite point configurations in the Euclidean setting

Geometric configurations in the ring of integers modulo pℓ

Lattice points close to families of surfaces, non-isotropic dilations and regularity of generalized Radon transforms

Geometric configurations in the ring of integers modulo $p^{ℓ}$