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Full Description
The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.
Contents
1. Introduction and results
2. The measures and linear analysis
3. Measures and functional analysis
4. Evolution of the Gaussian measure
5. Nonlinear estimates
6. Functional spaces $Y^{\rho , \epsilon }$ and $X^\rho _{t_0, \tau }$
7. Large deviation bounds
8. The local Cauchy theory
9. Global existence for $p>
1$
10. Quasi-invariance of the measures
11. Decay estimates and scattering
A. Some technical results
