The volume contains the proceedings of the conference held in Bordeaux in 2011 to honor the 70th birthday of Nikolai Nikolski. It gathers some of the most relevant contributions presented, written by first-rate analysts. Below is a list of the main subjects covered: function spaces and reproducing kernels Toeplitz and Hankel operators spectral synthesis spectral theory semigroups of operators singular integral operators functional models rational and meromorphic approximations Fourier analysis