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- Publisher
- Oxford University Press
- Copyright
- © The Author(s) 2017. Published by Oxford University Press. All rights reserved. For permissions, please e-mail: journals.permissions@oup.com
- ISSN
- 1687-1200
- eISSN
- 1687-1197
- DOI
- 10.1093/amrx/abx002
- Publisher site
- See Article on Publisher Site
Abstract
AbstractWe show that resonant states in scattering on asymptotically hyperbolic manifolds that are analytic near conformal infinity have analytic radiation patterns at infinity. On even asymptotically hyperbolic manifolds, we also show that smooth solutions of Vasy operators with analytic coefficients are also analytic. That answers a question of Zworski ([14] Conjecture 2). The proof is based on previous results of Baouendi–Goulaouic and Bolley–Camus–Hanouzet, and for convenience of the reader, we present an outline of the proof of the latter.
Journal
Applied Mathematics Research Express – Oxford University Press
Published: Sep 1, 2017