Norms of Modes and Quasi-modes revisited

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dc.creatorToth, John A.
dc.creatorZelditch, Steve
dc.date2002-02-08
dc.date.accessioned2026-07-07T04:46:22Z
dc.date.available2026-07-07T04:46:22Z
dc.descriptionThis is a partly expository, partly new paper on sup norm estimates of eigenfunctions. The focus is on the quantum completely integrable case. We give a new proof of the main result of our paper ``Riemannian manifolds with uniformly bounded eigenfunctions' (Duke Math J. 111 (2002), 97-132), based on the analysis of quasi-modes and Birkhoff normal forms. We also discuss related issues of resonant normal forms and tunnelling between tori.
dc.descriptionA conference talk at the June 2001 Mt. Holyoke conference in harmonic analysis
dc.identifierhttps://arxiv.org/abs/math/0202074
dc.identifierhttp://arxiv.org/abs/math/0202074
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63301
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject58J50
dc.titleNorms of Modes and Quasi-modes revisited
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