Cultural advice

The Australian National University acknowledges, celebrates and pays our respects to the Ngunnawal and Ngambri people of the Canberra region and to all First Nations Australians on whose traditional lands we meet and work, and whose cultures are among the oldest continuing cultures in human history.

Aboriginal and Torres Strait Islander peoples are advised that ANU Library collections may include images, names, voices, and other representations of deceased persons.

Material in the collection may contain terms, language or views that reflect the period in which the item was created and may be considered inappropriate today.

Quadratic estimates and functional calculi of perturbed Dirac operators

Simple item page
dc.contributor.authorAxelsson, Andreas
dc.contributor.authorKeith, Stephen
dc.contributor.authorMcIntosh, Alan
dc.date.accessioned2015-12-07T22:40:45Z
dc.date.issued2006
dc.date.updated2015-12-07T10:54:12Z
dc.description.abstractWe prove quadratic estimates for complex perturbations of Dirac-type operators, and thereby show that such operators have a bounded functional calculus. As an application we show that spectral projections of the Hodge-Dirac operator on compact manifolds depend analytically on L ∞ changes in the metric. We also recover a unified proof of many results in the Calderón program, including the Kato square root problem and the boundedness of the Cauchy operator on Lipschitz curves and surfaces.
dc.identifier.issn0020-9910
dc.identifier.urihttp://hdl.handle.net/1885/24015
dc.publisherSpringer
dc.sourceInventiones Mathematicae
dc.titleQuadratic estimates and functional calculi of perturbed Dirac operators
dc.typeJournal article
local.bibliographicCitation.lastpage497
local.bibliographicCitation.startpage455
local.contributor.affiliationAxelsson, Andreas, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationKeith, Stephen, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationMcIntosh, Alan, College of Physical and Mathematical Sciences, ANU
local.contributor.authoruidAxelsson, Andreas, u4001018
local.contributor.authoruidKeith, Stephen, u4048106
local.contributor.authoruidMcIntosh, Alan, u9311073
local.description.embargo2037-12-31
local.description.notesImported from ARIES
local.identifier.absfor010106 - Lie Groups, Harmonic and Fourier Analysis
local.identifier.absfor010110 - Partial Differential Equations
local.identifier.ariespublicationu3488905xPUB30
local.identifier.citationvolume163
local.identifier.doi10.1007/s00222-005-0464-x
local.identifier.scopusID2-s2.0-32144445973
local.type.statusPublished Version

Downloads

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
01_Axelsson_Quadratic_estimates_and_2006.pdf
Size:
605.99 KB
Format:
Adobe Portable Document Format
Download

Collections

ANU Research Publications

DSpace software copyright © 2002-2026 LYRASIS