Essays on non locally convex hardy classes -- The rate of polynomial approximation in the complex domain -- On a class of uniqueness theorems for convolutions -- Free interpolation in the space of uniformly convergent taylor series -- Unconditional bases of exponentials and of reproducing kernels -- What is needed for a O-absolutely summing operator to be nuclear? -- A model for noncontractions and stability of the continuous spectrum -- Division and multiplication by inner functions in spaces of analytic functions smooth up to the boundary -- Thin and thick families of rational fractions.