Makarov, N. and Poltoratski, A. (2005) Meromorphic Inner Functions, Toeplitz Kernels and the Uncertainty Principle. In: Perspectives in Analysis: Essays in Honor of Lennart Carleson's 75th Birthday. Mathematical Physics Studies (27). Springer , Berlin , pp. 185-252. ISBN 3-540-30432-0 http://resolver.caltech.edu/CaltechAUTHORS:20110819-095049741
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This paper touches upon several traditional topics of 1D linear complex analysis including distribution of zeros of entire functions, completeness problem for complex exponentials and for other families of special functions, some problems of spectral theory of selfadjoint differential operators. Their common feature is the close relation to the theory of complex Fourier transform of compactly supported measures or, more generally, Fourier–Weyl–Titchmarsh transforms associated with selfadjoint differential operators with compact resolvent.
|Item Type:||Book Section|
|Additional Information:||© 2005 Springer. The first author is supported by N.S.F. Grant No. 0201893. The second author is supported by N.S.F. Grant No. 020699.|
|Official Citation:||Meromorphic Inner Functions, Toeplitz Kernels and the Uncertainty Principle N. Makarov and A. Poltoratski pp. 185-252, 2005|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Ruth Sustaita|
|Deposited On:||19 Aug 2011 17:15|
|Last Modified:||19 Aug 2011 17:15|
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