Bernoulli and Euler Polynomials and the Euler- Maclaurin Formula, §23.1 in Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 1972. ,
On the distances between probability density functions, Electronic Journal of Probability, vol.19, issue.0, 2013. ,
DOI : 10.1214/EJP.v19-3175
Integration by parts formula and applications to equations with jumps. Probab. Theory Related Fields, pp.613-657, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00431632
Analysis and geometry of Markov diffusion operators, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences, p.348, 2014. ,
DOI : 10.1007/978-3-319-00227-9
URL : https://hal.archives-ouvertes.fr/hal-00929960
Berry-Essen bounds for multi-dimensional Central Limit Theorem, Bull. Amer. Math. Soc, vol.74, p.285287, 1968. ,
Normal Approximation and Asymptotic Expansions, SIAM Classics in Applied Mathematics, 2010. ,
DOI : 10.1137/1.9780898719895
Berry-Essen bounds in the entropic Central Limit Theorem. Probab. Theory Related Fields DOI 10, pp.440-453, 1007. ,
Stochastic Differential Equations and Diffusion processes, 1989. ,
Normal approximations using Malliavin calculus: from Stein's method to universality, Cambridge Tracts in Mathematics, vol.192, 2012. ,
Convergence in total variation on Wiener chaos, Stochastic Processes and their Applications, vol.123, issue.2, pp.651-674, 2013. ,
DOI : 10.1016/j.spa.2012.10.004
URL : https://hal.archives-ouvertes.fr/hal-00696499
An invariance principle under the total variation distance, Stochastic Processes and their Applications, vol.125, issue.6, pp.1310-4266, 2013. ,
DOI : 10.1016/j.spa.2014.12.010
URL : https://hal.archives-ouvertes.fr/hal-00873311
The Malliavin calculus and related topics, 2006. ,
DOI : 10.1007/978-1-4757-2437-0
Absolute continuity and convergence of densities for random vectors on Wiener chaos, Electron. J. Probab, vol.18, issue.22, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00719845
On a local limit theorem for densities. Doklady Akad, Nauk SSSR (N.S.), vol.83, pp.797-800, 1952. ,
On convergence in the mean for densities. Theory Probab, Appl, vol.7, pp.424-428, 1962. ,
On the central limit theorem in R k, Bull. Am. Math. Soc, vol.67, pp.359-361, 1961. ,