Let ¼ be an entire function of minimal type and order ½ = 1 and let ¼(D) be the corresponding differential operator. Maximal ¼(D)-invariant subspace of the kernel of an analytic functional is called its C[¼]-kernel. C[¼]-kernel of a system of analytic functionals is called the intersection of theirC[¼]-kernels. The paper describes the conditions which allow synthesis ofC[¼]-kernels of two analytical functionals with respect to the root elements of the differential operator ¼(D).
Research of a invariant subspaces of a differential operators infinite order in a complex domain generated many issues, related with transition to dual problems. This work devoted overcome these difficulties
