Geodesic
Cauchy and Pompey formulas for generalized analytic functions
Matematičeskie zametki, Tome 12 (1972) no. 3, pp. 263-268.

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We use the apparatus of the theory of generalized functions by which we can define strictly the fundamental functional solution of an equation, thereby making it possible to obtain the Cauchy–Pompey formulas without any additional conditions on the behavior of solutions at infinity when the coefficients of the equation are constant. The kernels of these formulas are obtained in explicit form. 
@article{MZM_1972_12_3_a5,
     author = {Zh. A. Tokibetov},
     title = {Cauchy and {Pompey} formulas for generalized analytic functions},
     journal = {Matemati\v{c}eskie zametki},
     pages = {263--268},
     publisher = {mathdoc},
     volume = {12},
     number = {3},
     year = {1972},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1972_12_3_a5/}
}
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Zh. A. Tokibetov. Cauchy and Pompey formulas for generalized analytic functions. Matematičeskie zametki, Tome 12 (1972) no. 3, pp. 263-268. http://geodesic.mathdoc.fr/item/MZM_1972_12_3_a5/