  We introduce Nevanlinna classes of holomorphic functions associated to a
closed set on the boundary of the unit disc in the complex plane and we get
Blaschke type theorems relative to these classes by use of several complex
variables methods. This gives alternative proofs of some results of Favorov \&
Golinskii, useful, in particular, for the study of eigenvalues of non self
adjoint Schr{\"o}dinger operators.
