INVARIANT SUBSPACES OF ANALYTIC FUNCTIONS. III. ON THE EXTENSION OF SPECTRAL SYNTHESIS
I F Krasičkov-Ternovskiĭ · Mathematics of the USSR-Sbornik · 1972
Let be a solution of the equation with characteristic function . is the trace which is left by the associated diagram of the function under a continuous translational displacement as a geometric figure on the Riemann surface of the function . We show that is a one-sheeted simply connected region; the function can be uniformly approximated inside by linear combinations of elementary solutions. This result is a corollary of a more general theorem on the extension of spectral synthesis which is proved in this paper.Figures: 2. Bibliography: 14 items.