A. Iosevich

activity

19992025

most citedThe Fuglede Conjecture holds in

Z_{p} \times Z_{p}

46 citations · 413 across the 115 of their papers we have counts for

collaborators

Showing 2001 · math.CAShow all

7 papers · 2 filters

math.CA2001★ 11 cited

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…

math.CA2001

Maximal averages over flat radial hypersurfaces

Alex Iosevich

We prove nearly sharp Orlicz space estimates for maximal averages over flat radial hypersurfaces in $R^{d}$ , $d \geq 3$ .

math.CA2001

Some sharp restriction theorems for homogeneous manifolds

Laura DeCarli, Alex Iosevich

We prove some restriction theorems for flat homogeneous surfaces of codimension greater than one.

math.CA2001

How large are the spectral gaps?

Alex Iosevich, Steen Pedersen

Let $D$ be a bounded domain in $R^{n}$ whose boundary has a Minkowski dimension $α < n$ . Suppose that $E_{Λ} = {e^{2 π i x \cdot λ}}_{λ \in Λ}$ , $Λ$ an infinite discrete subset o…

math.CA2001★ 14 cited

Spectral and Tiling properties of the Unit Cube

Alex Iosevich, Steen Pedersen

Let $\Q=[0,1)^d$ denote the unit cube in $d$ -dimensional Euclidean space \Rd and let \T be a discrete subset of \Rd. We show that the exponentials $e_{t} (x) := e x p (i 2 π t x)$ , $t\in\T$ fo…

math.CA2001★ 5 cited

Fourier bases and a distance problem of Erd\H os

Alex Iosevich, Nets Katz, Steen Pedersen

We prove that no ball admits a non-harmonic orthogonal basis of exponentials. We use a combinatorial result, originally studied by Erd\H os, which says that the number of distances…

Fourier transform, L2 restriction theorem, and scaling

Maximal averages over flat radial hypersurfaces

Some sharp restriction theorems for homogeneous manifolds

How large are the spectral gaps?

Spectral and Tiling properties of the Unit Cube

Fourier bases and a distance problem of Erd\H os

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