Hochschild Cohomology Theories in White Noise Analysis

We show that the continuous Hochschild cohomology and the differential Hochschild cohomology of the Hida test algebra endowed with the normalized Wick product are the same.

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Veröffentlicht in:Symmetry, Integrability and Geometry: Methods and Applications
Datum:2008
1. Verfasser: Léandre, R.
Format: Artikel
Sprache:Englisch
Veröffentlicht: Інститут математики НАН України 2008
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/149012
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Hochschild Cohomology Theories in White Noise Analysis / R. Léandre // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 40 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Léandre, R.
author_facet Léandre, R.
citation_txt Hochschild Cohomology Theories in White Noise Analysis / R. Léandre // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 40 назв. — англ.
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container_title Symmetry, Integrability and Geometry: Methods and Applications
description We show that the continuous Hochschild cohomology and the differential Hochschild cohomology of the Hida test algebra endowed with the normalized Wick product are the same.
first_indexed 2025-12-07T17:57:52Z
format Article
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1815-0659
language English
last_indexed 2025-12-07T17:57:52Z
publishDate 2008
publisher Інститут математики НАН України
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spelling Léandre, R.
2019-02-19T12:57:10Z
2019-02-19T12:57:10Z
2008
Hochschild Cohomology Theories in White Noise Analysis / R. Léandre // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 40 назв. — англ.
1815-0659
2000 Mathematics Subject Classification: 53D55; 60H40
https://nasplib.isofts.kiev.ua/handle/123456789/149012
We show that the continuous Hochschild cohomology and the differential Hochschild cohomology of the Hida test algebra endowed with the normalized Wick product are the same.
This paper is a contribution to the Special Issue on Deformation Quantization. Author thank L. Accardi and G. Pinczon for helpful discussions.
en
Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
Hochschild Cohomology Theories in White Noise Analysis
Article
published earlier
spellingShingle Hochschild Cohomology Theories in White Noise Analysis
Léandre, R.
title Hochschild Cohomology Theories in White Noise Analysis
title_full Hochschild Cohomology Theories in White Noise Analysis
title_fullStr Hochschild Cohomology Theories in White Noise Analysis
title_full_unstemmed Hochschild Cohomology Theories in White Noise Analysis
title_short Hochschild Cohomology Theories in White Noise Analysis
title_sort hochschild cohomology theories in white noise analysis
url https://nasplib.isofts.kiev.ua/handle/123456789/149012
work_keys_str_mv AT leandrer hochschildcohomologytheoriesinwhitenoiseanalysis