Sampling expansions associated with Kamke problems

The present paper is devoted to the derivation of sampling expansions fur e ntire functions which are represented as integral transforms where a differ ential operator is acting on the kernels, The situation generalizes the res ults obtained in sampling theory associated with boundary value problems to the case when the differential equation has the form N(y) = lambda P(y), w here N and P are two differential expressions of orders n and p respectivel y, n > p and lambda is the eigenvalue parameter. Both self adjoint and non self adjoint cases will he considered with examples in which the boundary c onditions are strongly regular. Mathematics Subject Classification (1991):4 1A05, 34B05, 34L10.