Galois module structure of holomorphic differentials

For a finite cyclic p extension L/K of a rational function field K = k(x) over an algebraically closed field k of characteristic p > 0 such that every ramified prime divisor is fully ramified, we find a basis of the k[G]-module Omega (L)(0) of holomorphic differentials of L. We use this basis, which is similar to the Boseck-Garcia basis in the elementary abelian case, to find the k[G]-module structure of Omega (L)(0) in terms of indecomposable modules.