Published September 2014
| Version Submitted
Journal Article
Open
Stability of Asymptotics of Christoffel–Darboux Kernels
Creators
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1.
Hebrew University of Jerusalem
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2.
California Institute of Technology
Abstract
We study the stability of convergence of the Christoffel–Darboux kernel, associated with a compactly supported measure, to the sine kernel, under perturbations of the Jacobi coefficients of the measure. We prove stability under variations of the boundary conditions and stability in a weak sense under ℓ^(1) and random ℓ^(2) diagonal perturbations. We also show that convergence to the sine kernel at x implies that μ({x}) = 0.
Additional Information
© 2014 Springer-Verlag Berlin Heidelberg. Received: 20 April 2013; Accepted: 30 May 2013;Published online: 21 March 2014. J. Breuer, Y. Last: Supported in part by The Israel Science Foundation (Grant No. 1105/10). B. Simon: Supported in part by NSF Grant No. DMS-0968856. J. Breuer, Y. Last, B. Simon: Research supported in part by Grant No. 2010348 from the United States- Israel Binational Science Foundation (BSF), Jerusalem, Israel.Attached Files
Submitted - 1302.7237
Files
Additional details
Identifiers
- Eprint ID
- 48560
- DOI
- 10.1007/s00220-014-1913-4
- Resolver ID
- CaltechAUTHORS:20140814-112606518
Related works
- Describes
- 10.1007/s00220-014-1913-4 (DOI)
- https://arxiv.org/abs/1302.7237 (URL)
Funding
- Israel Science Foundation
- 1105/10
- NSF
- DMS-0968856
- Binational Science Foundation (USA-Israel)
- 2010348
Dates
- Created
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2014-08-22Created from EPrint's datestamp field
- Updated
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2021-11-10Created from EPrint's last_modified field
Caltech Custom Metadata
- Caltech groups
- Mathematics Department , Physics Department