Matches in SemOpenAlex for { <https://semopenalex.org/work/W2952351288> ?p ?o ?g. }
Showing items 1 to 87 of
87
with 100 items per page.
- W2952351288 abstract "Let M be a compact manifold of dimension n, P = P(h) a semiclassical pseudodifferential operator on M, and u = u(h) an L^2 normalised family of functions such that Pu is O(h) in L^2(M) as h goes to 0. Let H be a compact submanifold of M. In a previous article, the second-named author proved estimates on the L^p norms, p > 2, of u restricted to H, under the assumption that the u are semiclassically localised and under some natural structural assumptions about the principal symbol of P. These estimates are of the form Ch^d(n;k;p) where k=dimH (except for a logarithmic divergence in the case k = n-2; p = 2). When H is a hypersurface, i.e. k = n-1, we have d(n;n-1;2)=1/4, which is sharp when M is the round n-sphere and H is an equator. In this article, we assume that H is a hypersurface, and make the additional geometric assumption that H is curved with respect to the bicharacteristic flow of P. Under this assumption we improve the estimate from d=1/4 to 1/6, generalising work of Burq-Gerard-Tzvetkov and Hu for Laplace eigenfunctions. To do this we apply the Melrose-Taylor theorem, as adapted by Pan and Sogge, for Fourier integral operators with folding canonical relations." @default.
- W2952351288 created "2019-06-27" @default.
- W2952351288 creator A5011098037 @default.
- W2952351288 creator A5014899167 @default.
- W2952351288 date "2010-02-05" @default.
- W2952351288 modified "2023-09-27" @default.
- W2952351288 title "Semiclassical L^p Estimates of Quasimodes on Curved Hypersurfaces" @default.
- W2952351288 hasPublicationYear "2010" @default.
- W2952351288 type Work @default.
- W2952351288 sameAs 2952351288 @default.
- W2952351288 citedByCount "0" @default.
- W2952351288 crossrefType "posted-content" @default.
- W2952351288 hasAuthorship W2952351288A5011098037 @default.
- W2952351288 hasAuthorship W2952351288A5014899167 @default.
- W2952351288 hasConcept C104317684 @default.
- W2952351288 hasConcept C114410712 @default.
- W2952351288 hasConcept C121332964 @default.
- W2952351288 hasConcept C127413603 @default.
- W2952351288 hasConcept C128803854 @default.
- W2952351288 hasConcept C134306372 @default.
- W2952351288 hasConcept C151300846 @default.
- W2952351288 hasConcept C158448853 @default.
- W2952351288 hasConcept C158693339 @default.
- W2952351288 hasConcept C165700671 @default.
- W2952351288 hasConcept C17020691 @default.
- W2952351288 hasConcept C185592680 @default.
- W2952351288 hasConcept C202444582 @default.
- W2952351288 hasConcept C33676613 @default.
- W2952351288 hasConcept C33923547 @default.
- W2952351288 hasConcept C37914503 @default.
- W2952351288 hasConcept C529865628 @default.
- W2952351288 hasConcept C535169671 @default.
- W2952351288 hasConcept C55493867 @default.
- W2952351288 hasConcept C62520636 @default.
- W2952351288 hasConcept C78519656 @default.
- W2952351288 hasConcept C84114770 @default.
- W2952351288 hasConcept C86339819 @default.
- W2952351288 hasConceptScore W2952351288C104317684 @default.
- W2952351288 hasConceptScore W2952351288C114410712 @default.
- W2952351288 hasConceptScore W2952351288C121332964 @default.
- W2952351288 hasConceptScore W2952351288C127413603 @default.
- W2952351288 hasConceptScore W2952351288C128803854 @default.
- W2952351288 hasConceptScore W2952351288C134306372 @default.
- W2952351288 hasConceptScore W2952351288C151300846 @default.
- W2952351288 hasConceptScore W2952351288C158448853 @default.
- W2952351288 hasConceptScore W2952351288C158693339 @default.
- W2952351288 hasConceptScore W2952351288C165700671 @default.
- W2952351288 hasConceptScore W2952351288C17020691 @default.
- W2952351288 hasConceptScore W2952351288C185592680 @default.
- W2952351288 hasConceptScore W2952351288C202444582 @default.
- W2952351288 hasConceptScore W2952351288C33676613 @default.
- W2952351288 hasConceptScore W2952351288C33923547 @default.
- W2952351288 hasConceptScore W2952351288C37914503 @default.
- W2952351288 hasConceptScore W2952351288C529865628 @default.
- W2952351288 hasConceptScore W2952351288C535169671 @default.
- W2952351288 hasConceptScore W2952351288C55493867 @default.
- W2952351288 hasConceptScore W2952351288C62520636 @default.
- W2952351288 hasConceptScore W2952351288C78519656 @default.
- W2952351288 hasConceptScore W2952351288C84114770 @default.
- W2952351288 hasConceptScore W2952351288C86339819 @default.
- W2952351288 hasLocation W29523512881 @default.
- W2952351288 hasOpenAccess W2952351288 @default.
- W2952351288 hasPrimaryLocation W29523512881 @default.
- W2952351288 hasRelatedWork W2046580918 @default.
- W2952351288 hasRelatedWork W2050316322 @default.
- W2952351288 hasRelatedWork W2087024376 @default.
- W2952351288 hasRelatedWork W2272352903 @default.
- W2952351288 hasRelatedWork W2376802725 @default.
- W2952351288 hasRelatedWork W2572770936 @default.
- W2952351288 hasRelatedWork W2897319785 @default.
- W2952351288 hasRelatedWork W2950115232 @default.
- W2952351288 hasRelatedWork W2951382058 @default.
- W2952351288 hasRelatedWork W2963234663 @default.
- W2952351288 hasRelatedWork W2964264110 @default.
- W2952351288 hasRelatedWork W3007070813 @default.
- W2952351288 hasRelatedWork W3036866171 @default.
- W2952351288 hasRelatedWork W3098682247 @default.
- W2952351288 hasRelatedWork W3103353670 @default.
- W2952351288 hasRelatedWork W3103445262 @default.
- W2952351288 hasRelatedWork W3105915385 @default.
- W2952351288 hasRelatedWork W3123571241 @default.
- W2952351288 hasRelatedWork W3173914295 @default.
- W2952351288 hasRelatedWork W2559109303 @default.
- W2952351288 isParatext "false" @default.
- W2952351288 isRetracted "false" @default.
- W2952351288 magId "2952351288" @default.
- W2952351288 workType "article" @default.