| dc.contributor.author | Canzani, Yaiza | |
| dc.contributor.author | Hanin, Boris | |
| dc.date.accessioned | 2018-05-23T16:45:21Z | |
| dc.date.available | 2018-05-23T16:45:21Z | |
| dc.date.issued | 2017-05 | |
| dc.identifier.issn | 1050-6926 | |
| dc.identifier.issn | 1559-002X | |
| dc.identifier.uri | http://hdl.handle.net/1721.1/115816 | |
| dc.description.abstract | This article concerns new off-diagonal estimates on the remainder and its derivatives in the pointwise Weyl law on a compact n-dimensional Riemannian manifold. As an application, we prove that near any non-self-focal point, the scaling limit of the spectral projector of the Laplacian onto frequency windows of constant size is a normalized Bessel function depending only on n. Keywords: Spectral projector, Pointwise Weyl Law, Scaling limits, Laplace eigenfunctions, Non-self-focal points | en_US |
| dc.publisher | Springer US | en_US |
| dc.relation.isversionof | http://dx.doi.org/10.1007/s12220-017-9812-5 | en_US |
| dc.rights | Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. | en_US |
| dc.source | Springer US | en_US |
| dc.title | C[superscript ∞] Scaling Asymptotics for the Spectral Projector of the Laplacian | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Canzani, Yaiza, and Boris Hanin. “C[superscript ∞] Scaling Asymptotics for the Spectral Projector of the Laplacian.” The Journal of Geometric Analysis, vol. 28, no. 1, Jan. 2018, pp. 111–22. | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| dc.contributor.mitauthor | Hanin, Boris | |
| dc.relation.journal | The Journal of Geometric Analysis | en_US |
| dc.eprint.version | Author's final manuscript | en_US |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
| eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
| dc.date.updated | 2018-01-13T04:23:33Z | |
| dc.language.rfc3066 | en | |
| dc.rights.holder | Mathematica Josephina, Inc. | |
| dspace.orderedauthors | Canzani, Yaiza; Hanin, Boris | en_US |
| dspace.embargo.terms | N | en |
| dc.identifier.orcid | https://orcid.org/0000-0001-5911-1432 | |
| mit.license | PUBLISHER_POLICY | en_US |
