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A note on certain permutation groups in the infinite dimensional rotation group

Published online by Cambridge University Press:  22 January 2016

Nobuaki Obata
Nobuaki Obata*
Affiliation:
Department of Mathematics, Faculty of Science, Nagoya University, Chikusa-ku, Nagoya, 464, Japan
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In his book P. Lévy discussed certain permutation groups of natural numbers in connection with the theory of functional analysis. Among them the group , called the Lévy group after T. Hida, has been studied along with Hida’s theory of white noise analysis and has become very important keeping profound contact with the Lévy Laplacian which is an infinite dimensional analogue of the ordinary Laplacian.

Information

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 109 , March 1988, pp. 91 - 107
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1988

References

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