Published June 2010
| Submitted
Journal Article
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Beurling-Malliavin theory for Toeplitz kernels
- Creators
- Makarov, N.
- Poltoratski, A.
Chicago
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Abstract
We consider the family of Toeplitz operators T_(JS[overbar]^a) acting in the Hardy space H^2 in the upper halfplane; J and S are given meromorphic inner functions, and a is a real parameter. In the case where the argument of S has a power law type behavior on the real line, we compute the critical value c(J, S) = inf{a: ker T_(JS[overbar]^a) ≠ 0} The formula for c(J,S) generalizes the Beurling-Malliavin theorem on the radius of completeness for a system of exponentials.
Additional Information
© 2010 Springer-Verlag 2010. Received: 19 December 2007. Accepted: 17 January 2010. Published online: 5 February 2010. The first author is supported by N.S.F. Grant No. 0201893. The second author is supported by N.S.F. Grant No. 0500852.Attached Files
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Additional details
- Eprint ID
- 18652
- Resolver ID
- CaltechAUTHORS:20100611-112618541
- NSF
- DMS-0201893
- NSF
- DMS-0500852
- Created
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2010-06-11Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field