Geodesic
Complex Analysis and the Cauchy Problem for Convolution Operators
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Analytic and geometric issues of complex analysis, Tome 235 (2001), pp. 165-168

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In the space of entire functions, a homogeneous convolution equation is considered, and conditions for the existence of solutions to this equation with given values at integer points are found. 
@article{TM_2001_235_a11,
     author = {V. V. Napalkov},
     title = {Complex {Analysis} and the {Cauchy} {Problem} for {Convolution} {Operators}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {165--168},
     publisher = {mathdoc},
     volume = {235},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2001_235_a11/}
}
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V. V. Napalkov. Complex Analysis and the Cauchy Problem for Convolution Operators. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Analytic and geometric issues of complex analysis, Tome 235 (2001), pp. 165-168. http://geodesic.mathdoc.fr/item/TM_2001_235_a11/