Sommaire du Fascicule no. 1

Linear independence of linear forms in polylogarithms
Approximation of holomorphic functions in Banach spaces admitting a Schauder decomposition
Hartogs theorem for forms : solvability of Cauchy-Riemann operator at critical degree
A criterion for virtual global generation
Second order parabolic equations and weak uniqueness of diffusions with discontinuous coefficients
The motion of a fluid in an open channel
Uniqueness for unbounded solutions to stationary viscous Hamilton-Jacobi equations

Sommaire du Fascicule no. 2

Multivariate moment problems : geometry and indeterminateness
Non-negative curvature obstructions in cohomogeneity one and the Kervaire spheres
On naturally reductive left-invariant metrics of SL (2,ℝ)
Unique continuation from Cauchy data in unknown non-smooth domains
Locating the boundary peaks of least-energy solutions to a singularly perturbed Dirichlet problem
Convexity estimates for flows by powers of the mean curvature

Sommaire du Fascicule no. 3

On non-overdetermined inverse scattering at zero energy in three dimensions
On the arithmetic properties of complex values of Hecke-Mahler series. I. The rank one case
Refined Hardy inequalities
On isometries of the carathéodory and Kobayashi metrics on strongly pseudoconvex domains
On the space of morphisms into generic real algebraic varieties

Sommaire du Fascicule no. 4

A simple proof of the propagation of singularities for solutions of Hamilton-Jacobi equations
Bounds for double zeta-functions
The Cauchy problem for hyperbolic systems with Hölder continuous coefficients with respect to the time variable
The BV-energy of maps into a manifold : relaxation and density results
Simultaneous unitarizability of SL n ℂ-valued maps, and constant mean curvature k-noid monodromy
Dirichlet problem with L p -boundary data in contractible domains of Carnot groups
Doubling constant mean curvature tori in S 3
Editorial note : “Non-negative curvature obstructions in cohomogeneity one and the Kervaire spheres”