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Showing 2003 · math.CAShow all
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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★ 1 cited
Distance sets corresponding to convex bodies
Mihail N. Kolountzakis
Suppose that $K \subseteq \RR^d$ is a 0-symmetric convex body which defines the usual norm $$ \Norm{x}_K = \sup\Set{t\ge 0: x \notin tK} $$ on $\RR^d$. Let also $A\subseteq\RR^d$ b…