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Quasi-invariance of low regularity Gaussian measures under the gauge map of the periodic derivative NLS
Genovese, G.; Lucà, R.
; Tzvetkov, N. (2022-01-01)
; Tzvetkov, N. (2022-01-01)
The periodic DNLS gauge is an anticipative map with singular generator which revealed crucial in the study of the periodic derivative NLS. We prove quasi-invariance of the Gaussian measure on L2(T) with covariance [1+(−Δ)s]−1 ...