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Note on the Infinite Dimensional Laplacian Operator

Published online by Cambridge University Press:  22 January 2016

Takeyuki Hida
Takeyuki Hida*
Affiliation:
Mathematical Institute, Nagoya University
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The infinite dimensional Laplacian operator can be discussed in connection with the infinite dimensional rotation group ([1]). Our interest centers entirely on observing how each one-parameter subgroup of the infinite dimensional rotation group contributes to the determination of the Laplacian operator.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 38 , March 1970 , pp. 13 - 19
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1970

References

[1] Umemura, Y., On the infinite dimensional Laplacian operator. J. Math. Kyoto Univ. 4 (1965), 477–492.Google Scholar
[2] Helgason, S., Differential geometry and symmetric spaces. Academic Press. 1962.Google Scholar
[3] Lévy, P., Problèmes concrets d’analyse fonctionelle. Gauthier-Villars. 1951.Google Scholar