This article is cited in 3 papers

Hochschild Cohomology Theories in White Noise Analysis

Rémi Léandre

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

Abstract: 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.

Keywords: white noise analysis; Hochschild cohomology.

MSC: 53D55; 60H40

Received: June 18, 2008; in final form September 8, 2008; Published online September 27, 2008

Language: English

DOI: 10.3842/SIGMA.2008.066

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ArXiv: 0809.4790