Research output: Chapter in Book/Report/Conference proceeding › Article in an anthology › peer-review
Recent developments in spectral synthesis for exponential systems and for non-self-adjoint operators. / Baranov, A.; Belov, Y.; Borichev, A.; Yakubovich, D.
Recent Trends in Analysis, Proceedings of the conferenece in honor of Nikolai Nikolski. Theta Foundation, 2013.Research output: Chapter in Book/Report/Conference proceeding › Article in an anthology › peer-review
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TY - CHAP
T1 - Recent developments in spectral synthesis for exponential systems and for non-self-adjoint operators
AU - Baranov, A.
AU - Belov, Y.
AU - Borichev, A.
AU - Yakubovich, D.
PY - 2013
Y1 - 2013
N2 - We survey recent results concerning the hereditary completeness of some special systems of functions and the spectral synthesis problem for a related class of linear operators. We present a solution of the spectral synthesis problem for systems of exponentials in $L^2(-\pi,\pi)$. Analogous results are obtained for the systems of reproducing kernels in the de Branges spaces of entire functions. We also apply these results (via a functional model) to the spectral theory of rank one perturbations of compact self-adjoint operators.
AB - We survey recent results concerning the hereditary completeness of some special systems of functions and the spectral synthesis problem for a related class of linear operators. We present a solution of the spectral synthesis problem for systems of exponentials in $L^2(-\pi,\pi)$. Analogous results are obtained for the systems of reproducing kernels in the de Branges spaces of entire functions. We also apply these results (via a functional model) to the spectral theory of rank one perturbations of compact self-adjoint operators.
M3 - Article in an anthology
SN - 978-606-8443-02-7
BT - Recent Trends in Analysis, Proceedings of the conferenece in honor of Nikolai Nikolski
PB - Theta Foundation
ER -
ID: 4662870