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The Laplace-Beltrami operator in infinite-dimensional case. (English. Russian original) Zbl 0840.58042

Russ. Math. 38, No. 3, 19-23 (1994); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1994, No. 3 (382), 21-25 (1994).
The purpose of the paper is to construct an infinite-dimensional extension of the Laplace-Beltrami operator. It is obtained as a limit in a suitable function space.

MSC:

58J05 Elliptic equations on manifolds, general theory
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