Refined and Microlocal Kakeya–Nikodym Bounds of Eigenfunctions in Higher Dimensions
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DOI: 10.1007/s00220-017-2977-8
Abstract: We prove a Kakeya–Nikodym bound on eigenfunctions and quasimodes, which sharpens a result of the authors (Blair and Sogge in Anal PDE 8:747–764, 2015) and extends it to higher dimensions. As in the prior work,… read more here.
Keywords: kakeya nikodym; higher dimensions; microlocal kakeya; refined microlocal ... See more keywords