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 | |
| Publication status | Published - 1995 Jan |
ASJC Scopus subject areas
- Analysis
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Cite this
Aida, S. (1995). Sobolev Spaces over Loop Groups. Journal of Functional Analysis, 127(1), 155-172. https://doi.org/10.1006/jfan.1995.1006