A. Iosevich

activity

19992005

most citedFalconer conjecture in the plane for random metrics

2 citations · 3 across the 6 of their papers we have counts for

collaborators

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11 papers · 1 filter

math.CA2005

Erdos distance problem in vector spaces over finite fields

Alex Iosevich, Misha Rudnev

We study the Erdös/Falconer distance problem in vector spaces over finite fields. Let $F_{q}$ be a finite field with $q$ elements and take $E \subset F_{q}^{d}$ , $d \geq 2$ .…

math.CA2004

Endpoint bounds for the non-isotropic Falconer distance problem associated with lattice-like sets

A. Iosevich, M. Rudnev

Let $S \subset R^{d}$ be contained in the unit ball. Let $Δ (S) = {∣∣ a - b ∣∣ : a, b \in S}$ , the Euclidean distance set of $S$ . Falconer conjectured that the $Δ (S)$ has positive…

math.CA2003

A Weyl type formula for Fourier spectra and frames

Alex Iosevich, Mihail N. Kolountzakis

We prove qualitative and quantitative results concerning the asymptotic density in dilates of centered convex bodies of the frequency vectors of orthogonal exponential bases and fr…

math.CA2003★ 2 cited

Falconer conjecture in the plane for random metrics

S. Hofmann, A. Iosevich

We prove the following variant of the Falconer conjecture in the plane. If the dimension of a compact planar set is greater than one, then the distance set with respect to almost e…

math.CA2001

Fourier transform, $L^{2}$ restriction theorem, and scaling

Alex Iosevich

We show, using a Knapp-type homogeneity argument, that the $(L^{p}, L^{2})$ restriction theorem implies a growth condition on the hypersurface in question. We further use this result t…