The ISAAC (International Society for Analysis, its Applications and Computation) Congress, which has been held every second year since 1997, covers the major progress in analysis, applications and computation in recent years. In this proceedings volume, plenary lectures highlight the recent research results, while 17 sessions organized by well-known specialists reflect the state of the art of important subfields. This volume concentrates on partial differential equations, function spaces, operator theory, integral transforms and equations, potential theory, complex analysis and generalizations, inverse problems, functional differential and difference equations and integrable systems.

Some Interrelated Results in Different Branches of Geometry and Analysis (G A Barsegian); Recent Results on Hardy and Rellich Inequalities (W D Evans); Some Results on Nonselfadjoint Operators: A Survey (J Sjostrand); The Distribution of Primes: Conjectures vs Hitherto Provables (C Y Yildirim); On Bloch and Normal Functions on Complex Banach Manifolds (P V Dovbush); Criteria for Monogenicity of Clifford-Algebra-Valued Functions (R Abreu Blaya et al.); The Geometry of Blaschke Product Mappings (I Barza & D Ghisa); Some Problems for Elliptic Systems on the Plane (G Akhalaia et al.); Generalized Energy Conservation (B Bohme & M Reissig); Eventually Positive Solutions of Second-Order Superlinear Dynamic Equations (R Mert & A Zafer); Reproducing Kernels for Harmonic Functions on Some Balls (K Fujita); On Interpolation Properties of Generalized Besov Spaces (A Almeida); Exact Embedding Theorems for Traces and Extensions (M D Ramazanov); Cohen p-Nuclear Multilinear Mappings (D Achour); and other papers.