Spectral representation for generalized operator-valued Toeplitz kernels

We prove an integral representation for operator-valued Toeplitz kernels. The proof is based on the spectral theory of the corresponding differential operator constructed from this kernel and acting in a Hilbert space.

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Bibliographic Details
Date:2005
Main Authors: Chernobai, O. B., Чернобай, О. Б.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 2005
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/3720
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal