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Beurling-Malliavin theory for Toeplitz kernels

# Beurling-Malliavin theory for Toeplitz kernels,10.1007/s00222-010-0234-2,Inventiones Mathematicae,N. Makarov,A. Poltoratski

Beurling-Malliavin theory for Toeplitz kernels
We consider the family of Toeplitz operators $$c(J,S)=\inf\left\{a:\mathop{\mathrm{ker}}T_{J\bar{S}^{a}}\ne0\right\}.$$ The formula for c(J,S) generalizes the Beurling-Malliavin theorem on the radius of completeness for a system of exponentials.
Journal: Inventiones Mathematicae - INVENT MATH , vol. 180, no. 3, pp. 443-480, 2010
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## Citation Context (2)

• ...Our approach is similar to the one developed by the second author and N. Makarov in [15] and [16], where it was used to obtain extensions and applications of the Beurling-Malliavin theory...

### Mishko Mitkovski, et al. Pólya sequences, Toeplitz kernels and gap theorems

• ...Recent developments in the inverse scattering/spectral theory [23, 22, 9, 15, 17, 18, 19] stimulated our interest to an old question on the description of the Nehari problem solutions set (precisely the question is formulated in Problem 1.1 below)...

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## Citations (5)

### Pólya sequences, Toeplitz kernels and gap theorems(Citations: 2)

Journal: Advances in Mathematics - ADVAN MATH , vol. 224, no. 3, pp. 1057-1070, 2010

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