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...
Saved in:
| Date: | 2000 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2000
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4553 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |
Institution
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510692396761088 |
|---|---|
| author | Berezansky, Yu. M. Березанський, Ю. М. |
| author_facet | Berezansky, Yu. M. Березанський, Ю. М. |
| author_sort | Berezansky, Yu. M. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:31:24Z |
| description | 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 kernel to guarantee the self-adjointness of the operator considered (i.e., the uniqueness of the measure in the representation) is proved. |
| first_indexed | 2026-03-24T03:01:02Z |
| format | Article |
| fulltext |
0018
0019
0020
0021
0022
0023
0024
0025
0026
0027
0028
0029
0030
0031
0032
|
| id | umjimathkievua-article-4553 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:01:02Z |
| publishDate | 2000 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/83/179a1126c6afaeea9cff44b4d0caec83.pdf |
| spelling | umjimathkievua-article-45532020-03-18T20:31:24Z On the Theory of Generalized Toeplitz Kernels Про теорію узагальнених ядер Тепліца Berezansky, Yu. M. Березанський, Ю. М. 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 kernel to guarantee the self-adjointness of the operator considered (i.e., the uniqueness of the measure in the representation) is proved. Наводиться нове доведення інтегрального зображення узагальнених ядер Тепліца. Це доведення базується на спектральній теорії відповідного диференціального оператора, що діє в гільбертовому просторі, побудованому за таким ядром. Одержано теорему про умови на ядро, які забезпечують самоспряженість цього оператора (тобто єдиність міри в зображенні) Institute of Mathematics, NAS of Ukraine 2000-11-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4553 Ukrains’kyi Matematychnyi Zhurnal; Vol. 52 No. 11 (2000); 1458-1472 Український математичний журнал; Том 52 № 11 (2000); 1458-1472 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/4553/5810 https://umj.imath.kiev.ua/index.php/umj/article/view/4553/5811 Copyright (c) 2000 Berezansky Yu. M. |
| spellingShingle | Berezansky, Yu. M. Березанський, Ю. М. On the Theory of Generalized Toeplitz Kernels |
| title | On the Theory of Generalized Toeplitz Kernels |
| title_alt | Про теорію узагальнених ядер Тепліца |
| title_full | On the Theory of Generalized Toeplitz Kernels |
| title_fullStr | On the Theory of Generalized Toeplitz Kernels |
| title_full_unstemmed | On the Theory of Generalized Toeplitz Kernels |
| title_short | On the Theory of Generalized Toeplitz Kernels |
| title_sort | on the theory of generalized toeplitz kernels |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4553 |
| work_keys_str_mv | AT berezanskyyum onthetheoryofgeneralizedtoeplitzkernels AT berezansʹkijûm onthetheoryofgeneralizedtoeplitzkernels AT berezanskyyum proteoríûuzagalʹnenihâderteplíca AT berezansʹkijûm proteoríûuzagalʹnenihâderteplíca |