Iterates of the Bochner-Martinelli Integral Operator in a Ball
URI (for links/citations):http://elib.sfu-kras.ru/handle/2311/1266
Kytmanov, Alexander M.
Myslivets, Simona G.
In the present paper we prove the convergence of iterates of the integral Bochner-Martinelli operator in a ball in various spaces: the infinitely-smooth functions, the analytic functions and the spaces conjugate to them, the distributions and the analytic functionals. We give a description of a spectrum of this operator in these spaces as well as the space Lp.