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Creators/Authors contains: "Palsson, Eyvindur Ari"

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  1. ; ; ; (, Canadian Journal of Mathematics)
    We introduce a class of Falconer distance problems, which we call of restricted type, lying between the classical version and its pinned variant. Prototypical restricted distance sets are the diagonal distance sets. We prove results in Euclidean spaces and also for Riemannian metrics g close to the product of Euclidean metrics. For product metrics, this follows from known results on pinned distance sets, but to obtain a result for general perturbations g, we present a sequence of proofs of partial results, leading up to the proof of the full result, which is based on estimates for multilinear Fourier integral operators. 
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  2. ; ; (, Proceedings of the American Mathematical Society)
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  3. ; (, Bulletin of the London Mathematical Society)