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.

Saved in:
Bibliographic Details
Date:2004
Main Authors: Tesko, V. A., Теско, В. А.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 2004
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/3814
Tags: Add Tag
No Tags, Be the first to tag this record!
Journal Title:Ukrains’kyi Matematychnyi Zhurnal
Download file: Pdf

Institution

Ukrains’kyi Matematychnyi Zhurnal
_version_ 1860509946397851648
author Tesko, V. A.
Теско, В. А.
author_facet Tesko, V. A.
Теско, В. А.
author_sort Tesko, V. A.
baseUrl_str https://umj.imath.kiev.ua/index.php/umj/oai
collection OJS
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.
first_indexed 2026-03-24T02:49:11Z
format Article
fulltext 0113 0114 0115 0116 0117 0118 0119 0120 0121 0122 0123 0124 0125 0126
id umjimathkievua-article-3814
institution Ukrains’kyi Matematychnyi Zhurnal
keywords_txt_mv keywords
language Ukrainian
English
last_indexed 2026-03-24T02:49:11Z
publishDate 2004
publisher Institute of Mathematics, NAS of Ukraine
record_format ojs
resource_txt_mv umjimathkievua/aa/f77aab833dbaa9d2a241e92439467baa.pdf
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
work_keys_str_mv AT teskova spacesappearingintheconstructionofinfinitedimensionalanalysisaccordingtothebiorthogonalscheme
AT teskova spacesappearingintheconstructionofinfinitedimensionalanalysisaccordingtothebiorthogonalscheme
AT teskova proprostoriŝovinikaûtʹpripobudovíneskínčennovimírnogoanalízuzabíortogonalʹnoûshemoû
AT teskova proprostoriŝovinikaûtʹpripobudovíneskínčennovimírnogoanalízuzabíortogonalʹnoûshemoû