Lectures On Nonlinear Analysis and Applications

This book gives new developpements in non linear analysis from two points of view, tensoriality and convexity.So, it revisits the basic notions on Fock spaces, Clifford algebra and multiconvexity and it will be useful for students and researchers who works on non linear approximation and optimization.This book gives also articles on banachic kernels and approximation.Banachic kernels extends the work of Laurent Schwartz about hilbertian kernels which plays an important role in Physics and applies mathematics.