Hamiltonian systems and Fourier analysis : new prospects for gravitational dynamics The elements of Hamiltonian perturbation theory Giancarlo Benettin Frequency map analysis and quasiperiodic decompositions Jacques Laskar Fourier analysis of chaotic solutions of quasi integrable systems Massimiliano Guzzo Frequency analysis and global dynamics of a planetary system Philippe Robutel The Fast Lyapunov Indicator applications to the study of the fine structure of Hamiltonian systems and to the detection of Arnolds diffusion Claude Froeschlé and Elena Lega Chaos random walks and diffusion in Hamiltonian systems Harry Varvoglis Strong stability in non linear wave equation near the fundamental linear mode Nikolai Nekhoroshev