Spaces appearing in the construction of infinite-dimensional analysis according to the biorthogonal scheme

We study properties of annihilation operators of infinite order that act in spaces of test functions. The results obtained are used for establishing the coincidence of spaces of test functions.

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Datum:2004
Hauptverfasser: Tesko, V. A., Теско, В. А.
Format: Artikel
Sprache:Ukrainisch
Englisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2004
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/3814
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Institution

Ukrains’kyi Matematychnyi Zhurnal
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author Tesko, V. A.
Теско, В. А.
author_facet Tesko, V. A.
Теско, В. А.
author_sort Tesko, V. A.
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datestamp_date 2020-03-18T20:11:04Z
description We study properties of annihilation operators of infinite order that act in spaces of test functions. The results obtained are used for establishing the coincidence of spaces of test functions.
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spelling umjimathkievua-article-38142020-03-18T20:11:04Z Spaces appearing in the construction of infinite-dimensional analysis according to the biorthogonal scheme Про простори, що виникають при побудові нескінченновимірного аналізу за біортогональною схемою Tesko, V. A. Теско, В. А. We study properties of annihilation operators of infinite order that act in spaces of test functions. The results obtained are used for establishing the coincidence of spaces of test functions. Вивчаються властивості операторів знищення нескінченного порядку, що діють у просторах основних функцій. Отримані результати застосовуються для встановлення рівності просторів основних функцій. Institute of Mathematics, NAS of Ukraine 2004-07-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3814 Ukrains’kyi Matematychnyi Zhurnal; Vol. 56 No. 7 (2004); 977–990 Український математичний журнал; Том 56 № 7 (2004); 977–990 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/3814/4348 https://umj.imath.kiev.ua/index.php/umj/article/view/3814/4349 Copyright (c) 2004 Tesko V. A.
spellingShingle Tesko, V. A.
Теско, В. А.
Spaces appearing in the construction of infinite-dimensional analysis according to the biorthogonal scheme
title Spaces appearing in the construction of infinite-dimensional analysis according to the biorthogonal scheme
title_alt Про простори, що виникають при побудові нескінченновимірного аналізу за біортогональною схемою
title_full Spaces appearing in the construction of infinite-dimensional analysis according to the biorthogonal scheme
title_fullStr Spaces appearing in the construction of infinite-dimensional analysis according to the biorthogonal scheme
title_full_unstemmed Spaces appearing in the construction of infinite-dimensional analysis according to the biorthogonal scheme
title_short Spaces appearing in the construction of infinite-dimensional analysis according to the biorthogonal scheme
title_sort spaces appearing in the construction of infinite-dimensional analysis according to the biorthogonal scheme
url https://umj.imath.kiev.ua/index.php/umj/article/view/3814
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AT teskova spacesappearingintheconstructionofinfinitedimensionalanalysisaccordingtothebiorthogonalscheme
AT teskova proprostoriŝovinikaûtʹpripobudovíneskínčennovimírnogoanalízuzabíortogonalʹnoûshemoû
AT teskova proprostoriŝovinikaûtʹpripobudovíneskínčennovimírnogoanalízuzabíortogonalʹnoûshemoû