S. Pedersen

activity

19992002

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Showing 2001Show all

2 papers · 1 filter

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

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…