Geodesic
Equations of convolution type in spaces of analytic functionals
Izvestiya. Mathematics , Tome 11 (1977) no. 2, pp. 361-374

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In this work necessary and sufficient conditions are obtained for solvability of the equation $\Phi^*f=g$, where $\Phi^*$ is the adjoint of the operator of multiplication by an entire function of normal type with a finite order of growth. As an application some conditions are found for solvability of a nonhomogeneous equation of generalized convolution type. Bibliography: 16 titles. 
@article{IM2_1977_11_2_a8,
     author = {V. A. Tkachenko},
     title = {Equations of convolution type in spaces of analytic functionals},
     journal = {Izvestiya. Mathematics },
     pages = {361--374},
     publisher = {mathdoc},
     volume = {11},
     number = {2},
     year = {1977},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1977_11_2_a8/}
}
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V. A. Tkachenko. Equations of convolution type in spaces of analytic functionals. Izvestiya. Mathematics , Tome 11 (1977) no. 2, pp. 361-374. http://geodesic.mathdoc.fr/item/IM2_1977_11_2_a8/