Published October 2010
| Version Submitted
Journal Article
Open
The Nevai Condition
Creators
-
1.
California Institute of Technology
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2.
Hebrew University of Jerusalem
Abstract
We study Nevai's condition that for orthogonal polynomials on the real line, K_n(x, x_0)^2K_n(x_0, x_0) ^(−1) dρ(x) → δ_(x0), where K_n is the Christoffel–Darboux kernel. We prove that it holds for the Nevai class of a finite gap set uniformly on the spectrum, and we provide an example of a regular measure on [−2, 2] where it fails on an interval.
Additional Information
© 2009 Springer Science+Business Media, LLC. Received: 4 September 2008. Accepted: 2 March 2009. Published online: 16 May 2009. We would like to thank David Damanik and Svetlana Jitomirskaya for valuable correspondence and Benjamin Weiss for valuable discussions. J.B. and B.S. would like to thank Ehud de Shalit for the hospitality of The Hebrew University where some of this work was done. Y.L. would like to thank Matthias Flach for the hospitality of Caltech where some of this work was done.Attached Files
Submitted - 0809.2255
Files
Additional details
Identifiers
- Eprint ID
- 19720
- DOI
- 10.1007/s00365-009-9055-1
- Resolver ID
- CaltechAUTHORS:20100830-143634133
Related works
- Describes
- 10.1007/s00365-009-9055-1 (DOI)
- https://arxiv.org/abs/0809.2255 (URL)
Funding
- Israel Science Foundation
- 1169/06
- Binational Science Foundation (BSF)
- 2006483
Dates
- Created
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2010-09-10Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field
Caltech Custom Metadata
- Caltech groups
- Mathematics Department , Physics Department