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The problem of generators in a ring of entire functions of several variables. Applications

V. N. Phillippov



Abstract: The ring of entire functions of several variables of the first-order and of minimal type in a cone is considered in the talk. A condition for the finite generation of this ring is obtained. Applications to the solvability of systems of convolution equations in terms of characteristic functions are given.


© Steklov Math. Inst. of RAS, 2024