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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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2008
Main Author: Léandre, R.
Format: Article
Language:English
Published: Інститут математики НАН України 2008
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/149012
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this: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
id nasplib_isofts_kiev_ua-123456789-149012
record_format dspace
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
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title Hochschild Cohomology Theories in White Noise Analysis
spellingShingle Hochschild Cohomology Theories in White Noise Analysis
Léandre, R.
title_short 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_sort hochschild cohomology theories in white noise analysis
author Léandre, R.
author_facet Léandre, R.
publishDate 2008
language English
container_title Symmetry, Integrability and Geometry: Methods and Applications
publisher Інститут математики НАН України
format Article
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.
issn 1815-0659
url https://nasplib.isofts.kiev.ua/handle/123456789/149012
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.
work_keys_str_mv AT leandrer hochschildcohomologytheoriesinwhitenoiseanalysis
first_indexed 2025-12-07T17:57:52Z
last_indexed 2025-12-07T17:57:52Z
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