Systems of convolution equations in some class of analytic functions. (Russian. English summary) Zbl 0564.46047
There are given conditions in terms of determinants of entire functions for solvability and uniqueness of solutions of nonhomogeneous systems of convolution equations in the spaces of analytic functions on some bounded convex domain in the complex plane, satisfying some growth conditions near the boundary.
Reviewer: T.Tonev
MSC:
| 46J15 | Banach algebras of differentiable or analytic functions, \(H^p\)-spaces |
| 44A35 | Convolution as an integral transform |
| 46E15 | Banach spaces of continuous, differentiable or analytic functions |
