On the algebra of pseudodifferential operators which is generated by convolutions on the Heisenberg group
β Scribed by V. V. Kisil'
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1993
- Tongue
- English
- Weight
- 643 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0037-4466
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π SIMILAR VOLUMES
Let \(G\) be a locally compact group and \(\mathrm{VN}(G)\) be the von Neumann algebra generated by the left regular representation of \(G\). Let \(\operatorname{UCB}(\hat{G})\) denote the \(C^{*}\)-subalgebra generated by operators in \(\mathrm{VN}(G)\) with compact support. When \(G\) is abelian.
Local one-parameter groups generated by the Virasoro operators were constructed via Feynman path integrals on a coadjoint of the infinite-dimensional Heisenberg group in the previous paper [T. Hashimoto, 1996. J. Funct. Anal. 137, 191 218]. The main purpose of this paper is to prove that the one-par