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- W2079969198 abstract "Let be a centred Gaussian measure in a linear space with Cameron-Martin space , let be a -measurable seminorm, and let be a -measurable second-order polynomial. We show that it is sufficient for the existence of the limit , where is the expectation with respect to , that the second derivative of the function be a nuclear operator on . This condition is also necessary for the existence of the above-mentioned limit for all seminorms . The problem under discussion can be reformulated as follows: study for Gaussian measures equivalent to ." @default.
- W2079969198 created "2016-06-24" @default.
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- W2079969198 date "1998-06-30" @default.
- W2079969198 modified "2023-10-16" @default.
- W2079969198 title "On the small balls problem for equivalent Gaussian measures" @default.
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- W2079969198 doi "https://doi.org/10.1070/sm1998v189n05abeh000319" @default.
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