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A quasi-invariance theorem for measures on Banach spaces
1985
Transactions of the American Mathematical Society
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We show that for a measure -y on a Banach space directional different ¡ability implies quasi-translation invariance. This result is shown to imply the Cameron-Martin theorem. A second application is given in which 7 is the image of a Gaussian measure under a suitably regular map.
doi:10.1090/s0002-9947-1985-0792833-3
fatcat:5glrdj3t45drda2ihb2kxyqnoi