Convolution operators in A −∞ for convex domains.
Abanin, Alexander V.
Khoi, Le Hai.
Date of Issue2012
School of Physical and Mathematical Sciences
We consider the convolution operators in spaces of functions which are holomorphic in a bounded convex domain in ℂn and have a polynomial growth near its boundary. A characterization of the surjectivity of such operators on the class of all domains is given in terms of low bounds of the Laplace transformation of analytic functionals defining the operators.
Arkiv för matematik