Hochschild Cohomology Theories in White Noise Analysis

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2008
• ISSN: 1815-0659
• Main Author: Léandre, R.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2008
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/149012
• 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.

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.