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Transformations on white noise functions associated with second order differential operators of diagonal type
1998
Nagoya mathematical journal
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Abstract.A generalized number operator and a generalized Gross Laplacian are introduced on the basis of white noise distribution theory. The equicontinuity is examined and associated one-parameter transformation groups are constructed. An infinite dimensional analogue ofax+bgroup and Cauchy problems on white noise space are discussed.
doi:10.1017/s0027763000006590
fatcat:7i2c3nyynrcq7d3wmczx2ybfwa