Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 4 (2008), 066, 13 pages      arXiv:0809.4790
Contribution to the Special Issue on Deformation Quantization

Hochschild Cohomology Theories in White Noise Analysis

Rémi Léandre
Institut de Mathématiques de Bourgogne, Université de Bourgogne, 21000, Dijon, France

Received June 18, 2008, in final form September 08, 2008; Published online September 27, 2008

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.

Key words: white noise analysis; Hochschild cohomology.

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