Sobolev Spaces over Loop Groups

Shigeki Aida

doi:10.1006/jfan.1995.1006

Sobolev Spaces over Loop Groups

Shigeki Aida

SCI - Mathematics

Research output: Contribution to journal › Article › peer-review

21 Citations (Scopus)

Abstract

In this paper, we study the properties of Orstein-Uhlenbeck operators over loop groups which are naturally defined by the group structure. We establish the hypoellipticity of the Laplacians acting on the space of tensors. By using this, we show the essential self-adjointness of the Laplacians acting on the real valued function spaces.

Original language	English
Pages (from-to)	155-172
Number of pages	18
Journal	Journal of Functional Analysis
Volume	127
Issue number	1
DOIs	https://doi.org/10.1006/jfan.1995.1006
Publication status	Published - 1995 Jan

ASJC Scopus subject areas

Analysis

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10.1006/jfan.1995.1006

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abstract = "In this paper, we study the properties of Orstein-Uhlenbeck operators over loop groups which are naturally defined by the group structure. We establish the hypoellipticity of the Laplacians acting on the space of tensors. By using this, we show the essential self-adjointness of the Laplacians acting on the real valued function spaces.",

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Sobolev Spaces over Loop Groups

Abstract

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