Sobolev Spaces over Loop Groups

Shigeki Aida

Research output: Contribution to journalArticlepeer-review

21 Citations (Scopus)


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 languageEnglish
Pages (from-to)155-172
Number of pages18
JournalJournal of Functional Analysis
Issue number1
Publication statusPublished - 1995 Jan

ASJC Scopus subject areas

  • Analysis


Dive into the research topics of 'Sobolev Spaces over Loop Groups'. Together they form a unique fingerprint.

Cite this