46 citations · 413 across the 115 of their papers we have counts for
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Fourier transform, restriction theorem, and scaling
Alex Iosevich
We show, using a Knapp-type homogeneity argument, that the restriction theorem implies a growth condition on the hypersurface in question. We further use this result t…
Maximal averages over flat radial hypersurfaces
Alex Iosevich
We prove nearly sharp Orlicz space estimates for maximal averages over flat radial hypersurfaces in , .
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.
How large are the spectral gaps?
Alex Iosevich, Steen Pedersen
Let be a bounded domain in whose boundary has a Minkowski dimension . Suppose that , an infinite discrete subset o…
Spectral and Tiling properties of the Unit Cube
Alex Iosevich, Steen Pedersen
Let $\Q=[0,1)^d$ denote the unit cube in -dimensional Euclidean space \Rd and let \T be a discrete subset of \Rd. We show that the exponentials , $t\in\T$ fo…
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…