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Transformations for White Noise Functionals

✍ Scribed by T. Hida; H.H. Kuo; N. Obata


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
513 KB
Volume
111
Category
Article
ISSN
0022-1236

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✦ Synopsis


AND
Nobuaki Obata

Department of Mathematics, School of Science, Nagoya University, Nagoya 464-0), Japan, and Mathematisches Institut, UniversitΓ€t TΓΌbingen. Auf der Morgenstelle 10, D-7400 TΓΌbingen, Germany

Communicated by L. Gross


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Several multi-parameter transformation groups acting on the space of test white noise functionals are constructed by means of the operator theory based on white noise distribution theory. Several Lie algebras containing infinite dimensional Laplacians and their associated Lie groups are also discuss