TY - GEN AU - Bogachev,V.I TI - Differentiable measures and the Malliavin calculus T2 - Mathematical surveys and monographs SN - 9780821849934 (alk. paper) U1 - 515/.42 PY - 2010/// CY - Providence, R.I PB - American Mathematical Society KW - Measure theory KW - Theory of distributions (Functional analysis) KW - Sobolev spaces KW - Malliavin calculus N1 - Cuprinde bibliografie si index; 1. Background material -- 2. Sobolev spaces on IRn ["n" is superscript] -- 3. Differentiable measures on linear spaces -- 4. Some classes of differentiable measures -- 5. Subspaces of differentiability of measures -- 6. Integration by parts and logarithmic derivatives -- 7. Logarithmic gradients -- 8. Sobolev classes on infinite dimensional spaces -- 9. Malliavin calculus -- 10. Infinite dimensional transformations -- 11. Measures on manifolds -- 12. Applications ER -