Necessary condition of fundamental principle for invariant subspaces on unbounded convex domain
Aleksandr Sergeevich Krivosheev,
Olesya Aleksandrovna Krivosheeva
Abstract:In this paper we study the spaces π»(π·) of analytic functions in convex domains of the complex plane as well as subspaces π (Ξ, π·) of such spaces. A subspace π (Ξ, π·) is the closure in the space π»(π·) of the linear span of the system, where Ξ is the sequence of different complex numbers π π and their multiplicities π π . This subspace is invariant with respect to the differentiation operator. The main problem in the theory of invariant subspaces is to represent all its functions by using the eigenfun… Show more
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