On the theory of generalized Toeplitz kernels

A new proof of the integral representation of the generalized Toeplitz kernels is given. This proof is based on the spectral theory of the corresponding differential operator that acts in the Hilbert space constructed from a kernel of this sort. A theorem on conditions that should be imposed on the...

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Bibliographic Details
Date:2000
Main Authors: Berezansky, Yu.M., Chernobai, О.В.
Format: Article
Language:English
Published: Інститут математики НАН України 2000
Series:Український математичний журнал
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Online Access:http://dspace.nbuv.gov.ua/handle/123456789/158046
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:On the theory of generalized Toeplitz kernels / Yu.M. Berezansky, O.B. Chernobai // Український математичний журнал. — 2000. — Т. 52, № 11. — С. 1458–1472. — Бібліогр.: 15 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine