Some analytic problems related to statistical mechanics.- On spectral synthesis in ?n, n ? 2.- Spectral synthesis and stability in Sobolev spaces.- Fourier analysis of multilinear convolutions, Calder¿n's theorem, and analysis on Lipschitz curves.- The complex method for interpolation of operators acting on families of Banach spaces.- Maximal functions: A problem of A. Zygmund.- Multipliers of F(LP).