Reachable states and holomorphic function spaces for the 1-D heat equation

The description of the reachable states heat equation is one central questions in control theory. aim this work to present new results for 1-D with boundary on segment [0,?]. In situation it known that are holomorphic a square D diagonal which given by most precise obtained recently say space contained between two well spaces analytic functions: Smirnov E2(D) and Bergman A2(D). We show exactly sum sectors intersection D. order get more information spaces, we also prove contains certain weighted