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On a Class of Metrical Automorphisms on Gaussian Measure Space

Published online by Cambridge University Press:  22 January 2016

Hisao Nomoto*
Affiliation:
Nagoya University
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Let E be an infinite dimensional real nuclear space and H be its completion by a continuous Hilbertian norm ║ ║ of E. Then we have the relation

where E* is the conjugate space of E. Consider a function C(ξ) on E defined by the formula

(1)

Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1970

References

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