Geodesic
A problem of generators for a ring of entire functions several complex variables
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2022), pp. 84-90

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A ring of entire functions many complex variables of first order having minimal type in cone is considered. It is obtained condition generating of this ring of finite set of functions. The theorem proving in this work about generator of ring employs in the research of solvability of heterogeneous system of equations of convolution in terms of characteristic functions of equations.
Keywords: entire function, generator for ring
Mots-clés : equation of convolution. 
@article{IVM_2022_12_a6,
     author = {V. N. Filippov},
     title = {A problem of generators for a ring of entire functions several complex variables},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {84--90},
     publisher = {mathdoc},
     number = {12},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2022_12_a6/}
}
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V. N. Filippov. A problem of generators for a ring of entire functions several complex variables. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2022), pp. 84-90. http://geodesic.mathdoc.fr/item/IVM_2022_12_a6/