Multiparametric spectral problems as expanded by the author’s own vectors

We prove the expansion theorems for abstract multiparameter spectral problems. These theorems contain expansion results for general operators with continuous spectrum and partial differential elliptic operators.

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Date:1992
Main Authors: Berezansky , Yu. М., Konstantinov , A. Yu.
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 1992
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/8122
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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author Berezansky , Yu. М.
Konstantinov , A. Yu.
author_facet Berezansky , Yu. М.
Konstantinov , A. Yu.
author_sort Berezansky , Yu. М.
baseUrl_str https://umj.imath.kiev.ua/index.php/umj/oai
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datestamp_date 2024-01-31T10:37:42Z
description We prove the expansion theorems for abstract multiparameter spectral problems. These theorems contain expansion results for general operators with continuous spectrum and partial differential elliptic operators.
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spelling umjimathkievua-article-81222024-01-31T10:37:42Z Multiparametric spectral problems as expanded by the author’s own vectors Розклад за власними векторами багатопараметричних спектральних задач Berezansky , Yu. М. Konstantinov , A. Yu. - We prove the expansion theorems for abstract multiparameter spectral problems. These theorems contain expansion results for general operators with continuous spectrum and partial differential elliptic operators. Встановлені теореми про розклад за власними векторами абстрактної багатопараметричної спектральної задачі. Ці теореми містять результати для загальних операторів з неперервним спектром і еліптичних диференціальних операторів. Institute of Mathematics, NAS of Ukraine 1992-08-03 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/8122 Ukrains’kyi Matematychnyi Zhurnal; Vol. 44 No. 7 (1992); 901-913 Український математичний журнал; Том 44 № 7 (1992); 901-913 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/8122/9649 Copyright (c) 1992 Yu. М. Berezansky , A. Yu. Konstantinov
spellingShingle Berezansky , Yu. М.
Konstantinov , A. Yu.
Multiparametric spectral problems as expanded by the author’s own vectors
title Multiparametric spectral problems as expanded by the author’s own vectors
title_alt Розклад за власними векторами багатопараметричних спектральних задач
title_full Multiparametric spectral problems as expanded by the author’s own vectors
title_fullStr Multiparametric spectral problems as expanded by the author’s own vectors
title_full_unstemmed Multiparametric spectral problems as expanded by the author’s own vectors
title_short Multiparametric spectral problems as expanded by the author’s own vectors
title_sort multiparametric spectral problems as expanded by the author’s own vectors
topic_facet -
url https://umj.imath.kiev.ua/index.php/umj/article/view/8122
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AT konstantinovayu rozkladzavlasnimivektoramibagatoparametričnihspektralʹnihzadač